Register
a sphere and a cone have the same volume and each has a radius of 6 centimeters what is the height of the cone
53.7k views
3 votes
a sphere and a cone have the same volume and each has a radius of 6 centimeters what is the height of the cone

User Jeff Wofford
by
8.9k points

1 Answer

5 votes
V(sphere)=(4/3)πr³
V(cone) =(1/3)πr²h
V(sphere)=V(cone)
(4/3)πr³ = (1/3)πr²h
3*(4/3)πr³ = 3*(1/3)πr²h
4r³ = r²h
4r = h
h=4r= 4*6 =24 cm
User Samori
by
8.2k points
← Prev Question Next Question →

No related questions found

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

9.4m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!