Question

Please answer the question

Answer 1

Option a) 602.88 ft³ is the correct answer.

Step-by-step explanation:

Given :

• ↠ Radius of cylinder = 4 ft
• ↠ Height of cylinder = 12 ft

To Find :

• ↠ Volume of cylinder

Using Formula :

`\quad{\dashrightarrow{\sf{\pink{Volume_((Cylinder)) = \pi {r}^(2)h}}}}`

Solution :

Substituting all the given values in the formula to find volume of cylinder :

`\quad{\dashrightarrow{\sf{Volume_((Cylinder)) = \pi {r}^(2)h}}}`

`\quad{\dashrightarrow{\sf{Volume_((Cylinder)) = 3.14 * {4}^(2) * 12}}}`

`\quad{\dashrightarrow{\sf{Volume_((Cylinder)) = 3.14 * 4 * 4* 12}}}`

`\quad{\dashrightarrow{\sf{Volume_((Cylinder)) = 3.14 * 16* 12}}}`

`\quad{\dashrightarrow{\sf{Volume_((Cylinder)) = 3.14 * 192}}}`

`\quad{\dashrightarrow{\sf{Volume_((Cylinder)) \approx 602.88 \: {ft}^(3)}}}`

`\quad{\star{\underline{\boxed{\sf{ \purple{Volume_((Cylinder)) \approx 602.88 \: {ft}^(3)}}}}}}`

Hence, the volume of cylinder is 602.88 ft³.

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Answer 2

a) 602.88 ft²

Explanation:

Volume of a cylinder :

`V = \pi r^2h`

Where

• r = radius
• h = height

Here we are given the following

• Radius = 4 ft
• Height = 12 ft

Plugging these values into the formula we acquire:

V = π(4)²12

==> evaluate exponent

V = π(16)12

==> multiply 12 and 16

V = 192π

==> simplify

V = 602.88 ft²

The answer is A