Answer:
1225.23 inches³ <em>OR</em> 390π inches³ ⇒ answer C
Step-by-step explanation:
* Lets revise the rule of the volume of any cone
- The volume of the cone = 1/3 × area of the base × its height
- The base of the cone is a circle
- Area of the circle = πr² , where r is the radius of the circle
- The volume of the cone = 1/3 × πr² × its height
* Lets solve the problem
∵ The radius of the small cone is 3 inches
∵ Its height is 5 inches
∴ The volume of the small cone = 1/3 × π (3)² × 5 = 47.12 inches³
∵ The radius of the larger cone is 9 inches
∵ Its height is 15 inches
∴ The volume of the large cone = 1/3 × π (9)² × 15 = 1272.35 inches³
- The small cone is cutting from the large cone , then the volume of
the resulting part is the difference between their volumes
∵ The volume of the resulting part = Large volume - small volume
∴ The volume of the resulting part = 1272.35 - 47.12 = 1225.23 inches³
∴ The volume of the resulting part is 1225.23 inches³ <em>OR</em> 390π inches³
