Question

27/64A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch radius. How tall will the cup need to be to hold 93 cubic inches of water

Answer 1

9.86 inches

Explanation:

Given:

The cup will be a right circular cone with:-

Radius, r = 3 inches

Volume of cone = 93 cubic inches

Height of the cup, h = ?

Solution:

By using :-

`Volume\ of\ right\ circular\ cone=(1)/(3) \pi r^(2) h`

`93 =(1)/(3) *(22)/(7) *3*3* h\\ \\ 93=(198)/(21) h\\ \\ 93=9.43h`

By dividing both sides by 9.43

`(93)/(9.43) =(9.43h)/(9.43) \\ \\ 9.86\ inches=h`

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.