Question

the radius and height of cylinder are in the ratio 5:7.if its volume is 4400cu.cm,find the radius of the cylinder.​

Answer 1

Answer:

10

Step-by-step explanation:

Let the radius of the cylinder be 5x and height be 7x.

Volume=4400 cm3

We know that the volume of the cylinder is

=πr2h

So,

4400=227×(5x)2×7x

4400=22×25x2×x

4400=22×25x3

x3=8

x=2

So, the radius will be 5×2=10 cm

Hence, this is the answer.

Answer 2

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

$\large\bold{Radius = 10 cm}$

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

↪ The radius and height of cylinder are in the ratio 5:7

↪ The volume of cylinder is 4400 cm³

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

Find the radius of the cylinder =?

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

Let the radius and height of cylinder be 5x and 7x respectively.

According to question :-

Volume of Cylinder = πr²h

$\implies$ 4400 = $\large{\sf {\frac{22}{7}}}$ x (5x)² x 7x

$\implies$ 4400 = 22 x 25x³

$\implies$ x³ = $\large{\sf {\frac{4400}{22\:x\:25}}}$

$\implies$ x³ = 8

$\implies$ x = 2 cm

Radius = 5(2) = 10 cm

Thus, the radius of cylinder is 10 cm

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