The volume of the new cylinder will be equal to 40.96 cubic centimeters.
What is the volume of a cylinder?
The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height.
The formula to calculate the volume of the cylinder is given below:-
V = πr²h
Given that volume of a cylinder is 80 cubic centimeters. The diameter and height of the cylinder is multiplied by 4/5. The new volume will be:-
Vi= πr²h = 80 cubic centimeters.
The new volume will be calculated as:-
Vn= π (4/5r)²(4/5)h
Vn = (64 / 125 ) πr²h
Vn = (64 / 125 ) x Vi
Vn = (64 / 125 ) x 80
Vn = 40.96 cubic centimeters.
Therefore, the volume of the new cylinder will be equal to 40.96 cubic centimeters.
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