A hanging flower vase 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.
a 392.5 cubic inches
b 78.5 cubic inches
c 1,177.5 cubic inches
d 1,570 cubic inches
The volume \( V \) of a cone can be calculated using the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cone. Plugging in the given values, we get:
\[ r = 5 \text{ inches} \]
\[ h = 15 \text{ inches} \]
\[ \pi \approx 3.14 \]
Now let's calculate the volume:
\[ V = \frac{1}{3} \cdot 3.14 \cdot (5)^2 \cdot 15 \]
\[ V = \frac{1}{3} \cdot 3.14 \cdot 25 \cdot 15 \]
\[ V = \frac{1}{3} \cdot 3.14 \cdot 375 \]
\[ V = \frac{1}{3} \cdot 1177.5 \]
\[ V = 392.5 \text{ cubic inches} \]
Therefore, the correct answer is:
a) 392.5 cubic inches