Question

the radius and height of a cylinder are in the ratio 7:2. if the volume of the cylinder is 8316cm3, find the radius and height of the cylinder.​

Answer 1

Answer:

radius is 21 cm and height is 12cm

Step-by-step explanation:

hope this helps

Answer 2

ANSWER :

Radius of the cylinder is 21 cm and height of the cylinder is 6 cm.

EXPLANATION :

• Given :-

• The radius and height of a cylinder are in the ratio 7:2.
• The volume of the cylinder is 8316cm³.

•To find :-

• Radius and height of the cylinder.

• Solution :-

The radius and the height of the cylinder are in ratio 7:2.

Consider,

Radius(r) of the cylinder = 7x cm

Height(h) of the cylinder = 2x cm

We know,

${\boxed{\sf{Volume\: of\: cylinder =\pi\:r^2\:h}}}$

Volume of cylinder = πr²h

→Volume of cylinder=$\sf{\frac{22}{7}\times\:7x\times\:7x\times\:2x\:cm^3}$

→Volume of cylinder = 308x³ cm³

According to the question,

$\sf{308x^3=8316}$

$\implies\sf{x^3=\frac{8316}{308}}$

$\implies\sf{x=3}$

Radius of the cylinder = 7×3 =21 cm

Height of the cylinder = 2×3 = 6 cm

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