Question

the radius and height of a cylinder are in the ratio 5 ratio 7 and its volume is 550cm3. Find its radius

Answer 1

volume=πr^2h. _ (1)
r:h=5:7
let the common multiple be X
r=5x , h=7x. _(2)
from (1) and (2),
550=π(5x)^2 ×7x
=22/7 × 25x^2 × 7x
=22×25×x^3
X^3=550/(22×25)
X=1
from (2),
r=5x=5×1=5cm
hope this answer is helpful.

Answer 2

AnswEr:

Let the radius of the base and height of the cylinder be 5 x and 7 x cm respectively. Then,

• Volume = 550 cm³

POINTS TO BE REMEMBER :

1. Use, r = 5x

2. H = 7x

3. Volume = πr²h

________________________________

$= \sf \frac{22}{7} \times {(5x)}^{2} \times 7x = 550 \\ \\ \sf = \frac{22}{7} \times 25 {x}^{2} \times 7x = 550 \\ \\ \sf = 22 \times 25 {x}^{3} = 550 \\ \\ \sf = 550 {x}^{3} = 550 \implies {x}^{3} = 1\implies \: x = 1$

↝Hence, radius of the cylinder

= 5x cm = ( 5 * 1 ) cm = 5 cm

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