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The volume of the cylinder is 48pi cubic feet. The area of the base is 12pi square feet. what is the height of the cylinder.

Respuesta :

Since the base of a cylinder is a circle
so area of base(circle)=12pi sq.ft.
Pi×r^2=12pi
r^2=12
r=squareroot12
r=2squareroot3
since volume of cylinder=48pi cubicft.
pi×r^2×h=48pi
r^2×h=48
Putting value of r
(2squareroot3)^3×h=48
4×3×h=48
h=48/4×3
h=4ft.
So height of cylinder is 4ft.
shubhamchouhanvrVT

The height of the cylinder will be equal to h = 4 feet.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. The volume of the cylinders is calculated by using the radius of the base and the height of the cylinder.

Given that:-

  • The volume of the cylinder is 48π cubic feet.
  • The area of the base is 12π square feet.

The height of the cylinder will be calculated as:-

Vc    =    πr² x  h

Vc    =    Ac x  h

48π  =   12π  x  h

h       =   4 feet

Therefore the height of the cylinder will be equal to h = 4 feet.

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