Question

Find the radius of the base of the cylinder if its volume is 15400cm³ and height is 25cm?​

Answer 1

Given:

• Volume of cylinder = 15400cm³
• Height of cylinder = 25cm

To Find:

• Radius of base?

Solution:

We have height and volume of a cylinder.

We know that,

• Volume of cylinder = πr²h

Here,

• Volume = 15400cm³
• π = 22/7
• r = radius of base of cylinder
• h = height of cylinder = 25cm

Put known values in formula:

Volume of cylinder = πr²h

=> 15400 = 22/7 × r² × 25

=> 15400/25 = 22/7r²

=> 616 = 22/7 r²

=> r² = $\dfrac{616\times 7}{22}$

=> r² = 28 × 7

=> r² = 196

=> r = √196

=> r = 14

Therefore,

• Radius of base of cylinder = 14cm