Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

<div> <p class="MsoNormal"><span style="font-size: 22.0pt; line-height: 115%;">A sphere and a cube are of same height. The ratio of their volumes is:</span></p> <p class="MsoNormal"><span style="font-size: 22.0pt; line-height: 115%;">(a)3:4&nbsp;&nbsp; (b)21:11&nbsp;&nbsp; (c)4:3&nbsp; (d) 11:21</span></p> <p class="MsoNormal"><span style="font-size: 22.0pt; line-height: 115%;">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</span></p> </div>
Asked by rkjha_in | 08 Mar, 2015, 12:35: PM
Expert Answer
L e t space t h e space s i d e space o f space t h e space c u b e space b e space apostrophe a apostrophe comma h e i g h t space o f space t h e space c u b e space equals a V o l u m e space o f space t h e space c u b e comma space V subscript C space equals a cubed l e t space t h e space r a d i u s space o f space t h e space s p h e r e space b e space apostrophe r apostrophe H e i g h t space o f space t h e space s p h e r e space equals space 2 r V o l u m e space o f space t h e space s p h e r e comma space V subscript s space equals space 4 over 3 πr cubed S i n c e space h e i g h t space o f space s p h e r e space a n d space c u b e space i s space s a m e. therefore a equals 2 r V subscript C over V subscript S equals fraction numerator a cubed over denominator 4 over 3 πr cubed end fraction equals fraction numerator left parenthesis 2 r right parenthesis cubed over denominator 4 over 3 πr cubed end fraction equals fraction numerator 8 over denominator begin display style fraction numerator 4 straight pi over denominator 3 end fraction end style end fraction equals 6 over straight pi equals fraction numerator 6 cross times 7 over denominator 22 end fraction equals 21 over 11 V subscript C over V subscript S equals 21 over 11 left parenthesis b right parenthesis space i s space t h e space c o r r e c t space a n s w e r
Answered by Prasenjit Paul | 08 Mar, 2015, 01:34: PM

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
The volume of sphere varies directly as the cube of its radius and the volume of sphere is 36π cubic centimetre.find the volume of sphere, when the diameter is doubled.
Asked by pankaisa2001 | 25 Dec, 2020, 06:02: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
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
Asked by hridhyavijay | 16 Feb, 2019, 10:36: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
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.
Asked by Topperlearning User | 24 Oct, 2017, 01:57: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Find the volume of a hemispherical vessel whose total surface area is 462 cm2.
Asked by Topperlearning User | 24 Oct, 2017, 01:54: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Find the height of a cone of radius 30 cm which is formed by melting a sphere of radius 30 cm.
Asked by Topperlearning User | 24 Oct, 2017, 01:51: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Find the capacity of a hemispherical vessel, if circumference of its top is 308 cm.
Asked by Topperlearning User | 24 Oct, 2017, 01:12: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
The surface area of a sphere is 5544 cm2. Calculate its volume.
Asked by Topperlearning User | 24 Oct, 2017, 01:09: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Find the volume of a hemisphere whose curved surface area is 24948 cm2.
Asked by Topperlearning User | 24 Oct, 2017, 01:05: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
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.
Asked by Topperlearning User | 24 Oct, 2017, 01:07: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
If the density of metal is 8.4 gm/dm3, calculate the mass of a metallic sphere of radius 0.5 dm.
Asked by Topperlearning User | 24 Oct, 2017, 01:48: PM
ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get FREE Sample Mock Papers for Final Exams
Download Now
×