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# Surface Areas and Volumes CBSE Class 9

## Full fledge assessment Videos

Video Based Test funda (Please watch the above videos before attempting this assessment)
Question 1/20

Q 1. Find the volume of a hemisphere whose radius is 0.7 m.

Solution

Volume of a hemisphere =

Q 2. The total surface area of a cone having radius 5 m and slant height 9 m is

Solution

The total surface area of a cone is given by pr

(l + r).

Q 3. The total surface area of a hemisphere having radius 4 is

Solution

The total surface area of a hemisphere is given by 3𝜋r2.

cm2

Q 4. Find the lateral surface area of a cuboid whose length, breadth and height are 10 cm, 8 cm and 6 cm, respectively.

Solution

l = 10 cm, b = 8 cm and h = 6 cm

LSA = 2 (bh + lh)

= 2(6 × 8 + 10 × 6)

= 216 cm2

Q 5. The curved surface area of a cone having radius 10 m and slant height 7 m is

Solution

The curved surface area of a cone is given by prl.

Q 6. How many cubes of side 3 cm can be cut from a cuboid measuring 18 cm × 12 cm × 9 cm?

Solution

Volume of the cuboid = l × b × h = 18 cm × 12 cm × 9 cm = 1944 cm2

Volume of a cube = (edge)3 = (3)3 = 27 cm3

Number of cubes =

Q 7. The fixed point in a cone is called the

Solution

The fixed point in a cone is called the vertex.

Q 8. The curved surface area of a cone having radius 10 m and slant height 7 m is

Solution

The curved surface area of a cone is given by prl.

Q 9. A conical flask of top diameter 10 m is 21 m deep. What is its capacity?

Solution

Q 10. Find the surface area of a cuboid whose length, breadth and height are 12 cm, 14 cm and 16 cm, respectively.

Solution

l = 12 cm, b = 14 cm and h = 16 cm

TSA = 2 (lb + bh + lh)

= 2(12 × 14 + 14 × 16 + 16 × 12)

= 1168 cm2

Q 11. If the total surface area of a cube is 150 cm2, then its side is

Solution

The total surface area of a cube is given by 6 (side)2.

6 (side)2 = 150

side2 = 25

side = 5 cm

Q 12. Volume of a cone = The height of a cone is 15 cm. If its volume is 500p cm3, then find the radius of its base.

Solution

Volume of a cone =

500p =

r2 =

r2 = 100

r = 10 cm

Q 13. Find the surface area of a cylinder with a radius of 2 cm and a height of 1 cm (𝜋 = 3.14).

Solution

The total surface area of a cylinder is given by 2𝜋rh + 2pr2.

Q 14. The diameter of the base of a cylinder is 12 cm and its height is 8 cm. Find the surface area of the solid cylinder.

Solution

The total surface area of a cylinder is given by 2𝜋rh + 𝜋r2.

Q 15. The total surface area of a hemisphere having radius 7 is

Solution

The total surface area of a hemisphere is given by 3𝜋r2.

cm2

Q 16. Find the volume of the largest right circular cone which can be fitted in a cube whose edge is 10 cm.

Solution

Radius of the base of the cone = 10 ÷ 2 = 5cm

Height of the cone = 10 cm

Volume of the cone =

Q 17. Which of the following is true about a right circular cylinder?

Solution

The right circular cylinder has two circular faces.

Q 18. If the dimensions of a cuboid are l = 2 cm, b = 3 cm and h = 4 cm, then what is the volume of the cuboid?

Solution

Volume of a cuboid

= l × b × h

= 2 × 3 × 4

= 24 cm3

Q 19. How many cubes of 8 m3 can be cut off from a wooden block of volume 1728 m3?

Solution

Number of cubes =

Q 20. The lateral surface area of a cube having side 6 cm is

Solution

The lateral surface area of a cube having side a is 4a2.

= 4 × 3 × 3

= 36 cm2i

Still have doubt?

## Surface Areas and Volumes Notes

#### Revision Notes

Read CBSE Class 9 Mathematics revision notes for Surface Areas and Volumes

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## Surface Areas and Volumes Doubts and Solutions

Asked by shagufta612004 19th February 2019, 8:53 PM
Asked by hridhyavijay 16th February 2019, 10:36 PM
Asked by hridhyavijay 16th February 2019, 10:34 PM