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3 years ago

A cylinder has a volume of 187 cubic inches. If the radius is 3 inches, what is the height of the cylinder in inches?

Mathematics

2 answers:

frozen [14]3 years ago

4 0

Answer:

Step-by-step explanation:

V = pi r^2 h

V = 187

pi = 3.14

r = 3

h = ?

187 = 3.14 * 3^2 * h

187 = 3.14 * 9 * h

187 = 28.26 * h

187 / 28.26 = h

h = 6.62

MA_775_DIABLO [31]3 years ago

3 0

Answer:

The height of cylinder is 6.61 inches.

Step-by-step explanation:

<h3>Given that :- </h3>

Volume of cylinder = 187 inches ³.
Radius of cylinder, r = 3 inches

Height of cylinder , h

<h3>Formula Used :-</h3>

Volume of cylinder = π × r ² × h

Where,

r is the radius of cylinder.
h is the height of cylinder.

<h3>Solution :-</h3>

Using Formula

Volume of cylinder = π × r ² × h

Substitute the values

187 inches ³ = π × ( 3 inches ) ² × h

Using π = 3.14

187 inches ³ = 3.14 × 9 inches ² × h

multiply

187 inches ³ = 28.26 inches ² × h

Divide , we get

187 inches ³ / 28.26 = h

6.61 inches = h

Therefore, The height of cylinder is 6.61 inches.

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