# Volume Sphere And Hemisphere Free Doubts and Solutions

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A hemispherical bowl of internal diameter 36cm contains a liquid is to be filled in a cylindrical bottles of radius 3cm and height 6cm.How many bottles are required to empty the bowl

**hridhyavijay**16th February 2019, 10:36 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A bead is made up of metal of radius 2 cm. If the density of the metal is 10.5 gm/cm3, calculate the mass of the bead.

**Topperlearning User**24th October 2017, 1:57 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Find the volume of a hemispherical vessel whose total surface area is 462 cm2.

**Topperlearning User**24th October 2017, 1:54 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Find the height of a cone of radius 30 cm which is formed by melting a sphere of radius 30 cm.

**Topperlearning User**24th October 2017, 1:51 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## If the density of metal is 8.4 gm/dm3, calculate the mass of a metallic sphere of radius 0.5 dm.

**Topperlearning User**24th October 2017, 1:48 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Find the number of spheres of radius 2 cm that can be formed by melting a sphere of radius 8 cm.

**Topperlearning User**24th October 2017, 1:48 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Find the capacity of six hemispherical bowls, if area of each of its top is 616 cm2.

**Topperlearning User**24th October 2017, 1:46 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A sphere of radius 12 cm is melted and recasted into a cylinder of radius 6 cm. Find the height of the recasted cylinder.

**Topperlearning User**24th October 2017, 1:31 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A cone of height 8 dm and radius 16 dm is melted and recasted into a sphere. Find the radius of the sphere.

**Topperlearning User**24th October 2017, 1:27 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Calculate the volume of an ice cream cone of radius 2.8 cm and height 4 cm surmounted by a hemispherical top.

**Topperlearning User**24th October 2017, 1:22 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A toy is in the form of a hemisphere surmounted by a cone of radius 3 cm and height 8 cm. Calculate its volume.

**Topperlearning User**24th October 2017, 1:21 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A tent is in the form of a cylinder surmounted by a hemisphere. The height and radius of the cylindrical portion is 7.2 cm and 4.2 cm respectively. Calculate its volume.

**Topperlearning User**24th October 2017, 1:19 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Find the capacity of a hemispherical vessel, if circumference of its top is 308 cm.

**Topperlearning User**24th October 2017, 1:12 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## The surface area of a sphere is 5544 cm2. Calculate its volume.

**Topperlearning User**24th October 2017, 1:09 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A tomb is in the form of a cylinder surmounted by a hemisphere. The radius and height of the cylindrical portion are 10.5 m and 9 m. calculate its volume.

**Topperlearning User**24th October 2017, 1:07 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Find the volume of a hemisphere whose curved surface area is 24948 cm2.

**Topperlearning User**24th October 2017, 1:05 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

**Give the derivation of the volume of the sphere without using calculas.**

**Give the derivation of the volume of the sphere without using calculas.**

**Ayush**9th January 2016, 10:32 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

##
A spherical ball of lead, 3 cm in diameter is melted and recasted into three different sized spherical balls. Find the diameter of the third ball if the diameter of the first two balls are 1 cm and 1.25 cm.

A spherical ball of lead, 3 cm in diameter is melted and recasted into three different sized spherical balls. Find the diameter of the third ball if the diameter of the first two balls are 1 cm and 1.25 cm.

**rkjha_in**9th March 2015, 4:47 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

##
A sphere and a cube are of same height. The ratio of their volumes is:

(a)3:4 (b)21:11 (c)4:3 (d) 11:21

A sphere and a cube are of same height. The ratio of their volumes is:

(a)3:4 (b)21:11 (c)4:3 (d) 11:21

**rkjha_in**8th March 2015, 12:35 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## <div>A sphere and a cube have the same surface area. Show that the ratio of the volume of the sphere to that of the cube is <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />6:<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" /><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=6dae009a0e3a5eec27fc1b747bab3923.png" alt="straight pi" align="middle" />.</div>

**Varsha**25th January 2015, 6:15 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

**Respected Sir/Madam,**
**Kindly provide me the detailed explanation to the question.**
**If the radius of a sphere is doubled, its volume will become how many times its original volume?**

**Respected Sir/Madam,**

**Kindly provide me the detailed explanation to the question.**

**If the radius of a sphere is doubled, its volume will become how many times its original volume?****apoorva2000ojha**8th January 2015, 6:01 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

*Respected Sir/Madam<*

*Kindly provide me the detailed explanation to the question*

*1. 1. **If the edge of cube is increased by 25%, then find the percentage increase in its surface area.*

*2.* 2. *If the radius of a sphere is doubled, its volume will become how many times its original volume?*

*Respected Sir/Madam<*

*Kindly provide me the detailed explanation to the question*

*1. 1.*

*If the edge of cube is increased by 25%, then find the percentage increase in its surface area.***2.**

*2.*

*If the radius of a sphere is doubled, its volume will become how many times its original volume?***apoorva2000ojha**7th January 2015, 7:46 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Find the volume and surface area of a sphere of radius 2.1 cm. .

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## If the ratio of the radii of two sphere is 2 : 3, then the ratio of their volumes is:

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A hemispherical bowl of radius 6 cm is filled with water. If the water is transferred into cylindrical vessel of base radius 3 cm, find the height to which the water rises in the cylindrical vessel. .

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## The volume of a sphere is 905 cm3. Find its radius.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A solid spherical ball of diameter 4.2 cm is completely immersed in water. How much water is displaced?

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A shot putt is a metallic sphere of radius 4.2 cm. If density of metal is 10 g per cm3, find the mass of shot putt.

**Topperlearning User**9th April 2014, 10:58 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A hemispherical dome of a building is to be white washed and the total cost of white wash of dome building is Rs. 924 at the rate of Rs. 3 per m2 then find the (a) Surface area of hemisphere (b) Volume of air in the dome

**Topperlearning User**7th April 2014, 12:15 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

**Topperlearning User**7th April 2014, 12:14 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A cubical block of edge 22 cm is melted into small spherical balls of radius 1 cm. Calculate the number of balls that can be made from it.

**Topperlearning User**7th April 2014, 12:13 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Metal spheres, each of radius 2 cm are packed into a rectangular box of dimensions 16 cm 8 cm 8 cm. When 16 spheres are packed into the box, it is filled with preservative liquid. Find the volume of this liquid to the nearest integer. [Use= 3.14]

**Topperlearning User**7th April 2014, 12:13 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required. OR A cylinder, cone, and hemisphere have same base and same height. Find the ratio of their volumes.

**Topperlearning User**7th April 2014, 12:09 PM

### CBSE - IX - Mathematics - Surface Areas and Volumes

**Topperlearning User**7th April 2014, 10:42 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical ball is dropped into the tub raising the level of water by 6.75 cm. What is the radius of the ball?

**Topperlearning User**7th April 2014, 10:34 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

**Topperlearning User**7th April 2014, 10:33 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

**Topperlearning User**7th April 2014, 10:26 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## How many solid spheres of diameter 6 cm can be cast out of a solid cylinder with radius of the base 9 cm and height 40 cm? .

**Topperlearning User**7th April 2014, 10:24 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## How many spherical lead shots each 4.2 cm diameter can be obtained from a solid cuboid of lead with dimensions 66 cm, 42 cm and 21 cm?

**Topperlearning User**7th April 2014, 10:20 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Find the volume of metal used in making a hollow hemispherical bowl with internal and external diameters 4 m and 10 m respectively. .

**Topperlearning User**7th April 2014, 10:11 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

**Topperlearning User**7th April 2014, 10:06 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## Three spheres of radii 3 cm, 4 cm and 5 cm are melted together to form a single sphere. Find the radius of new sphere.

**Topperlearning User**7th April 2014, 9:38 AM

### CBSE - IX - Mathematics - Surface Areas and Volumes

## How many litres of milk can a hemispherical bowl of radius 10.5 cm hold?

**Topperlearning User**7th April 2014, 9:31 AM