Question

question 8 of 10 what is the volume of the cone below? image of a cone with height 22 and radius 6 a. 132π units³ b. 792π units³ c. 264π units³ d. 396π units³

Explanation:

Answer:

C. \( 264\pi \) units\(^3\)

Wait, no, let's recalculate. The volume of a cone is \( V = \frac{1}{3}\pi r^2 h \). Here, radius \( r = 6 \), height \( h = 22 \). So \( V = \frac{1}{3}\pi (6)^2 (22) = \frac{1}{3}\pi (36)(22) = 12 \times 22 \pi = 264\pi \)? Wait, no, 36 divided by 3 is 12, 12 times 22 is 264? Wait, 1222=264? Wait 1022=220, 2*22=44, 220+44=264. So yes, \( 264\pi \) units\(^3\) is option C? Wait the options: A is 132π, B 792π, C 264π, D 396π. Wait, let's check again. \( r = 6 \), \( h = 22 \). \( V = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (6)^2 (22) = \frac{1}{3}\pi (36)(22) = 12 \times 22 \pi = 264\pi \). So the correct answer is C. \( 264\pi \) units\(^3\).