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Yakvenalex [24]
2 years ago
15

Find the volume of the cylinder in terms of

n="absmiddle" class="latex-formula">.
h = 6 and r = 3.


a. 27\pi in.³

b. 108\pi in.³

c. 54\pi in.³

d. 324\pi in.³

Mathematics
2 answers:
oksian1 [2.3K]2 years ago
5 0

Answer:

c. 54\pi in.³

The volume of cylinder is 54\pi in.³

Step-by-step explanation:

<u>Given </u><u>that</u><u> </u><u>:</u><u>-</u>

  • Height of cylinder , h = 6.
  • Radius of cylinder, r = 3.

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • Volume of cylinder.

<u>Solution</u><u>:</u><u>-</u>

We use formula

Volume of cylinder = π × (radius)² × h

  • Substitute the value of radius and height.

Volume of cylinder = π × ( 3)² × 6.

  • Evaluate the exponent.

Volume of cylinder = π × 9 × 6.

  • Multiply we get ,

Volume of cylinder = 54\pi in.³

lord [1]2 years ago
3 0

The formula we use,

→ Volume of cylinder = π × r² × h

It is given that,

→ Height (h) = 6 and radius (r) = 3.

Then we have to,

find the volume of the cylinder,

→ π × r² × h

→ π × 3² × 6

→ π × 9 × 6

→ 54π in.³

Thus, option (c) is the answer.

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