Mensuration Practice Test 8

Question : 35 of 40

Marks: +1, -0

If A denotes the volumes of a right circular cylinder of same height as its diameter, and B is the volume of a sphere of same radius then

A/B

is :

Solution:

Let the height = h = 8 cm
Diameter = 8 cm
Radius = 4 cm.
Volume of the circular cylinder A =

πr^2h

π(4)^2 (8)

Volume of sphere B =

4/3 π(r)^3

4/3 π(4)^3

A/B

{πr^2h}/{4/3 πr^3}

{π(4)^2 . 8×3}/{4π(4)^3}

{8×3}{4×4}

{24}/{16}

6/4

3/2

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