Question

the radius and height of a cylinder are in the ratio of 7 : 2 if the volume of the cylinder is 8316 CM^ 3 find the radius and height of the cylinder

Answer 1

this is the way to get the answer to this question

Answer 2

$\huge\underline\mathrm{AnswEr:-}$

$\large{\boxed{\bf{Radius = 21 \:cm}}}$

$\large{\boxed{\bf{Height = 6\: cm }}}$

$\huge\underline\mathrm{GivEn:-}$

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

↪ The volume of the cylinder is 8316 cm³

$\huge\underline\mathrm{To\: Find:-}$

Find the radius and height of the cylinder = ?

$\huge\underline\mathrm{SoLution:-}$

Let the radius and height of the cylinder be 7x and 2x

We know that, the formula to find the Volume of cylinder is πr²h

According to question :-

Volume of cylinder = πr²h

$\implies$ 8316 = $\large{\sf {\frac{22}{7}}}$ (7x)² x (2x)

$\implies$ 8316 = 22 $\times$ 14x³

$\implies$ x³ = $\large{\sf {\frac{8316}{22 \: x\: 14}}}$

$\implies$ x³ = 27

$\implies$ $\huge\bf{x = 3}$

Radius and height of cylinder are :-

Radius = 7(3) = 21 cm

Height = 2(3) = 6 cm

$\huge\underline\mathrm{ThAnKs....}$