Question

What is the volume of the cone shown below?
A. 1344 cu. units
B. 504 cu. units
C. 4032 cu. units
D. 2016 cu. units

Answer 1

Answer: Choice A) 1344π  cubic units

Work Shown:

r = 8 = radius

h = 63 = height

V = volume of the cone

$V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*8^2*63\\\\V = \left(\frac{1}{3}*8^2*63\right)\pi\\\\V = \left(\frac{1}{3}*63*8^2\right)\pi\\\\V = \left(21*64\right)\pi\\\\V = 1344\pi$

Side note: You could write the symbol π as "pi" without quotes.