Question:-
Find the volume of the cone in terms of π. A cone with a radius of 5 feet and a height of 12 feet.
Answer:-
Given:-
Radius (r) of the cone = 5 feet.
Height (h) of the cone = 12 feet.
To Find:-
The volume of the cone.
Solution:-
We know,
Formula of Volume of Cone is [tex] \frac{1}{3} [/tex]πr²h
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × (5)² × 12
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × 5 × 5 × 12
Volume of the cone = [tex] \frac{\pi \: × \: 5 \: × \: 5 \: × \: 12}{3} [/tex]
Volume of the cone = [tex] \frac{300\pi}{3} [/tex]
Volume of the cone = 100π in³
Volume of the cone is 100π in³.
Hence, option (d) 100π in³ is correct. [Answer]
