Question

Find the radius of the base of a cylinder whose volume is 12320 cm^3 and height is 20 cm.

Fast answer ✔️

Answer 1

Hey friend here is your answer....

Solution :

Here ,

$V = \: 12320 \: {cm}^{3} \: and \: \: H = 20 \: cm$

Let the radius of the base be r .

Here ,

$V = \pi {r}^{2} \: \: \: \: H \: = 12320 \: {cm}^{3}$

$\rightarrow \: {r}^{2} = \frac{12320 \: \: {cm}^{3} }{\pi h}$

$= \frac{12320 \times 7 {cm}^{3} } {22 \times 20 cm} = 196 {cm}^{2}$

Therefore ,

$r = \: \sqrt{196 \: {cm}^{2} } = 14 \: cm$

So , the radius of the base is 14 cm .

$\bold{hope \: it \: helps \: you...}$

Answer 2

Hello Mate!

Since we know that,

Volume of cylinder = πr²h

Volume if cylinder = 12320 cm³

12320 = πr²h

12320/πh = r²

12320 × 7/22 × 1/20 = r²

√196 cm² = r

14 cm = radius

Hence radius is 14 cm

Have great future ahead!