40.3k views
2 votes
a cone has a volume of 6 cubic inches. what is the volume of a cylinder that the cone fits exactly inside of

User Raheim
by
8.0k points

1 Answer

6 votes

Answer:

= 18 cubic inches

Explanation:

The volume of a cone is given by the formula;

V = 1/3 × base area × height

While that of cylinder is given by the formula;

Volume = Base area × height

Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.

Therefore;

The cone has three times less volume compared to the cylinder.

Thus;

Volume of the cylinder = Volume of cone × 3

= 6 In³ × 3

= 18 cubic inches

User Fredrik Haglund
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories