Question

A cylinder is shown with the height of 4 yds and a diameter of 3 yds

Which of the following is the best approximation of the volume of the cylinder below?



(1 point)
Responses

28.3 yd3
28.3 yd cubed

97.8 yd3
97.8 yd cubed

113.1 yd3
113.1 yd cubed

12.4 yd3

Answer 1

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

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

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

Given:
- Height \( h = 4 \) yards,
- Diameter = 3 yards, so the radius \( r = \frac{3}{2} = 1.5 \) yards.

Now, substitute the values into the volume formula:

\[
V = \pi (1.5)^2 (4)
\]

Calculating \( (1.5)^2 \):

\[
(1.5)^2 = 2.25
\]

Now plug that back into the equation:

\[
V = \pi (2.25) (4) = \pi (9)
\]

Using \( \pi \approx 3.14 \):

\[
V \approx 3.14 \times 9 = 28.26 \text{ yd}^3
\]

Rounding this gives approximately 28.3 yd³.

Therefore, the best approximation of the volume of the cylinder is:

**28.3 yd³**.