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Yakvenalex [24]
3 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]3 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]3 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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Then the answer is option a  

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perimeter + height is less than 130 inches.

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If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

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Find the larger of two consecutive integers if the larger is 149 less than twice the smaller.
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Answer:

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Step-by-step explanation:

Let x = the smaller integer and y = the larger integer.

We have two conditions:

(1)   x + 1 = y

(2)       y =  2x - 149      Substitute (1) into (2)

    x + 1 = 2x - 149        Add 150 to each side

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150 +1 = y

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The larger integer is 151.

<em>Check: </em>

(1) 150 + 1 = 151

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(2)       151 = 2×150 -149

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