Question

If yhe radius and height of cylinder are in ratio 5 asto 7 and volume is 550cm3 then find its radius

Answer 1

it is a right answer

Answer 2

Given :-

radius and height are in ratio ,

$\frac{r}{h} = \frac{5}{7}$


$r = \frac{5h}{7}$


Now,

Volume of cylinder = πr²h


$550 = \frac{22}{7} {( \frac{5h}{7} )}^{2}h$
550 × ( 7 ) ³ = 22 × 25 × h³

$\frac{550 \times {7}^{3} }{22 \times 25} = {h}^{3}$

7³ = h³

7 = h

Now ,

$r = \frac{5h}{7}$


$r = \frac{5 \times 7}{7}$


r = 5


@Altaf