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Alla [95]
2 years ago
6

Find the volume of a cylinder that has a diameter of 7 and a height of 8.

Mathematics
2 answers:
Sindrei [870]2 years ago
7 0

We know , the volume of a cylinder is given by the formula – πr²h, where r is the radius of the cylinder and h is the height.

  • Diameter - 7
  • Height - 8
  • radius = 7/2

Therefore, putting the values, we get,

\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \:  {r}^{2}h

\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi  \times  \:   \bigg(\frac{7}{2} \bigg)^{2}  \:  \times  \: 8 \\

\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi  \:  \times  \:   \frac{7}{2}  \:  \times  \:  \frac{7}{2}  \:  \times  \: 8 \\

\Large \mathcal \purple {Volume } \large\red\implies \tt \large \:\pi  \:  \times  \:   \frac{7}{2}  \:  \times  \:  \frac{7}{ \cancel2}  \:  \times  \:  \cancel{8}  \: ^{ \orange4} \\

\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi  \:  \times  \:   \frac{7}{ \cancel2}  \:  \times  \:  {7}  \:  \times  \:  \cancel4 \:   ^{ \orange2}  \\

\\ \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi  \:  \times  \:   7 \:  \times  \: 7 \:  \times  \: 2

\Large \mathcal \purple {Volume }\ \large\red\implies \tt \large \:\pi  \:  \times  \:   49 \:  \times  \: 2

\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:98 \:\pi

Hence , the volume of cylinder is 98 pi

Cerrena [4.2K]2 years ago
5 0
<h3><u>Required</u><u> </u><u>solution</u><u> </u><u>:</u></h3>
  • Diameter (d) = 7
  • Height = 8

Therefore,

  • Radius (r) = d / 2
  • Radius (r) = 7/2

We know that :

  • V = πr^2h

Substituting the values :

>> V = π × (7 / 2)^2 × 8

>> V = π × (49 / 4) × 8

>> V = π × 49 × 2

>> V = 98π

Henceforth,

  • 98 pi is the answer.

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