Question

Calculate the volume of the cylinder.
​ with a radis of 4 and a hight of 10 cm
​Use 3.14
​
​Note: Figure not drawn to scale.

A
500 cm3500 cm
3

B
502.4 cm3502.4 cm
3

C
450.4 cm3450.4 cm
3

D
16081608 cm3cm
3

Answer 1

To calculate the volume of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) (pi) is approximately 3.14.

Given:
- Radius \( r = 4 \) cm,
- Height \( h = 10 \) cm,
- \( \pi = 3.14 \).

Substituting the values into the formula:

\[
V = 3.14 \times (4)^2 \times 10
\]

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute back into the volume formula:

\[
V = 3.14 \times 16 \times 10
\]

Calculating \( 3.14 \times 16 \):

\[
3.14 \times 16 = 50.24
\]

Now multiply by the height:

\[
V = 50.24 \times 10 = 502.4 \, \text{cm}^3
\]

Thus, the volume of the cylinder is \( 502.4 \, \text{cm}^3 \).

The correct answer is **B: 502.4 cm³**.