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inessss [21]
2 years ago
12

A cylinder has a height h, and a radius (3h-2)

Mathematics
1 answer:
tekilochka [14]2 years ago
6 0

Answer:

V= 4\pi (9h^2 -12h + 4)

Step-by-step explanation:

Given

Shape: Cylinder

Radius = 3h - 2

Height = h

Base\ Area = \pi (3h - 2)^2

Required

Simplify the volume

The volume is calculated as:

Volume = Base\ Area * Height

Substitute values for Base Area and Height

V= \pi(3h-2)^2*h

Expand the bracket

V= \pi(3h-2)(3h-2)*h

Open brackets

V= \pi (9h^2 -6h - 6h + 4) *h

V= \pi (9h^2 -12h + 4) *h

V= 4\pi (9h^2 -12h + 4)

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