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Olenka [21]
3 years ago
7

The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3}  (R)

Height of cylinder (h) = (4/3)R

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