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Surface Area And Volume Of Sphere | Surface Area And Volume Of Sphere Exercise 21.2

Question 5

A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.

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Radius of a sphere (R)= 4 cm (Given)

Height of the cylinder = 2/3 diameter (given)

We know, Diameter = 2(Radius)

Let h be the height and r be the base radius of a cylinder, then h = 2/3× (2r) = 4r/3

Volume of the cylinder = Volume of the sphere or r = 4

Therefore, radius of the base of the cylinder is 4 cm.

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subject-cta

Question 5

A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Radius of a sphere (R)= 4 cm (Given)

Height of the cylinder = 2/3 diameter (given)

We know, Diameter = 2(Radius)

Let h be the height and r be the base radius of a cylinder, then h = 2/3× (2r) = 4r/3

Volume of the cylinder = Volume of the sphere or r = 4

Therefore, radius of the base of the cylinder is 4 cm.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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