Question

the radius and the height of a cylinder are in the ratio of 5 : 7 and its volume is 550 cm cube find its radius

Answer 1

let radius be 5x and height be 7x
       volume of cylinder=550 cm³ (given)
                              550=πr²h
                              550=22/7×(5x)²×7x
                              550=22×25x²×x
                               25x³=550/22
                                 x³=25/25 ⇒ x=∛1 ⇒ 1cm

then radius=5(1) ⇒ 5 cm

:)Hope this helped u...
                                

Answer 2

${\huge{\underline{\sf{\red{Question :-}}}}}$

The Radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm cube. Find its radius

${\huge{\underline{\sf{\red{Solution :-}}}}}$

Hence,

Let the radius of the base of the cylinder be 5x ,

and the height of the cylinder be 7x .

Given,

$Volume \: of \: the \: cylinder \: = 550 cm ^{3}$

Therefore,

$\pi \: r^{2} h = 550 \: cm ^{3}$

$= > \frac{22}{7} \times (5x) ^{2} \times 7x = 550$

$= > 22 \times 25x ^{3} = \: 550$

$= > x^{3} = \frac{550}{550}$

$= > \: x = 1$

Therefore,

Radius = 5x

= 5 × 1 cm = 5 cm

Thus,

The radius of the cylinder is 5 cm.