Question

. The radius and height of a cylinder are in the ratio
7:2. If the volume of the cylinder is 8316 cm", find
the radius and height of the cylinder.​

Answer 1

Answer:

radius of 7x and 2x

then

volume is

πr^2h=8316

49x^2×2x= 2646

x^3=27

x=3

radius is 21cm

height is 6cm

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Answer 2

Radius and Height of cylinder

Answer: Required radius of cylinder is 21 cm and height is 6 cm.

Explanation:

Given that radius and height of cylinder are in ratio 7 : 2.

Volume of cylinder = 8316 cm³.

Need to determine radius and height of the cylinder

as ratio of radius and height is 7 : 2 ,

lets assume radius of cylinder = 7x cm And height of cylinder = 2x cm

Formula of volume of cylinder is as follows

Volume of cylinder = πr²h

where π is constant , r is radius and h is height of cylinder

On substituting given value of volume , constant value of π and assumed values of radius and height in formula of volume we get

8316 =  (22/7) × (7x)² × 2x

⇒ 8316 = (22/7) × 7 × 7 × 2 × x³

⇒ (8316)/(22×14) = x³

=> 27 = x³

⇒ x =∛27 = 3

radius of cylinder = 7x cm = 7 × 3 = 21 cm

height of cylinder = 2x cm = 2 × 3 = 6 cm

Hence required radius of cylinder is 21 cm and height is 6 cm.

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