The volume of a cone is 300 cubic kilometers. If the radius of the base is 7 kilometers, what is the height of the cone? Use 3.14 for pi. Show your work and round to the nearest tenth.

Question

anonymous · Answer

v=(1/3) pi r^2 h

anonymous · Answer

I got that same exact answer last time ... Can you show me how to do it? or at least Give me the answer?

anonymous · Answer

300=(1/3)*49 (3.14) h ===> h = 5.849 km

anonymous · Answer

Are you sure thats the answer?

anonymous · Answer

sure

anonymous · Answer

What is that rounded to the nearest tenth??

anonymous · Answer

5.8

jim_thompson5910 · Answer

V=(1/3)pi*r^2*h



3V=pi*r^2*h



(3V)/(pi*r^2)=h



h=(3V)/(pi*r^2)



h=(3(300))/(pi*(7)^2)



h=(3(300))/((3.14)*(7)^2)



h=(3(300))/((3.14)*(49))



h=(900)/((3.14)*(49))



h=(900)/(153.86)



h=5.84947354738074



So the height is approximately 5.8494735 km

jim_thompson5910 · Answer

to the nearest tenth, the height is 5.8 km

anonymous · Answer

Jim Thompson thanks :) Please look at the lastest questions Ive asked