Question
Volume of Cones Quick Check
5 of 55 of 5 Items
Question
A hanging flower vase is in the shape of a cone with a radius of 5 inches and a height of 15 inches. What volume of water can the flower vase hold? Use 3.14 for π
.(1 point)
Responses
392.5 cubic inches
392.5 cubic inches
1,570 cubic inches
1,570 cubic inches
1,177.5 cubic inches
1,177.5 cubic inches
78.5 cubic inches
Answers
GPT-4o mini
To find the volume of a cone, you can use the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 15 \) inches
- \( \pi \approx 3.14 \)
Plugging in the values:
\[
V = \frac{1}{3} \times 3.14 \times (5)^2 \times 15
\]
\[
= \frac{1}{3} \times 3.14 \times 25 \times 15
\]
\[
= \frac{1}{3} \times 3.14 \times 375
\]
\[
= \frac{1}{3} \times 1177.5
\]
\[
= 392.5 \text{ cubic inches}
\]
Thus, the volume of water that the flower vase can hold is **392.5 cubic inches**.
\[
V = \frac{1}{3} \pi r^2 h
\]
Where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 15 \) inches
- \( \pi \approx 3.14 \)
Plugging in the values:
\[
V = \frac{1}{3} \times 3.14 \times (5)^2 \times 15
\]
\[
= \frac{1}{3} \times 3.14 \times 25 \times 15
\]
\[
= \frac{1}{3} \times 3.14 \times 375
\]
\[
= \frac{1}{3} \times 1177.5
\]
\[
= 392.5 \text{ cubic inches}
\]
Thus, the volume of water that the flower vase can hold is **392.5 cubic inches**.