Answer:
9.86 inches
Step-by-step 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 :-
[tex]Volume\ of\ right\ circular\ cone=\frac{1}{3} \pi r^{2} h[/tex]
[tex]93 =\frac{1}{3} \times\frac{22}{7} \times3\times3\times h\\ \\ 93=\frac{198}{21} h\\ \\ 93=9.43h[/tex]
By dividing both sides by 9.43
[tex]\frac{93}{9.43} =\frac{9.43h}{9.43} \\ \\ 9.86\ inches=h[/tex]
Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.
