Question

find the volume of the specified cone. use 3.14 for π, and round your answer to the nearest whole number. diameter = 5 cm, height = 7 cm
a. 73 cu. cm
b. 46 cu. cm
c. 275 cu. cm
d. 183 cu. cm

please select the best answer from the choices provided
○ a
○ b
○ c
○ d

Explanation:

Step1: Find the radius

The diameter is 5 cm, so the radius \( r = \frac{5}{2} = 2.5 \) cm.

Step2: Use the cone volume formula

The formula for the volume of a cone is \( V = \frac{1}{3}\pi r^2 h \). Substitute \( \pi = 3.14 \), \( r = 2.5 \) cm, and \( h = 7 \) cm.
\( V = \frac{1}{3} \times 3.14 \times (2.5)^2 \times 7 \)
First, calculate \( (2.5)^2 = 6.25 \).
Then, \( \frac{1}{3} \times 3.14 \times 6.25 \times 7 \approx \frac{1}{3} \times 3.14 \times 43.75 \approx \frac{1}{3} \times 137.375 \approx 45.79 \), which rounds to 46.

Answer:

B. 46 cu. cm