1.) a sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. what is the height of the cone? a.) 2cm b.) 3cm c.) 4cm d.) 5cm 2.) a cylinder with a radius of 1cm and a height of 21cm has the same volume as a cone with a height of 7cm. what is the radius of the cone? a.) 3cm b.) 5cm c.) 7cm d.) 9cm

Part A)
we know that 
[volume sphere]=(4/3)*pi*r³> (4/3)*pi*3³> 113.04 cm³
[volume cone]=113.04=pi*r²*h/3> h=[V*3]/[pi*r²]
r=6 cm
h=[V*3]/[pi*r²]> [113.04*3]/[pi*6²]> 3
h=3 cm

the answer part A) is h=3 cm

Part B)
[volume cylinder]=pi*r² *h> pi*1²*21> 65.94 cm³
[volume cone]=65.94 cm³=pi*r²*h/3
h=7 cm
r=√[(V*3)/(pi*h)]> √[(65.94*3)/(pi*7)]> 3 cm

the answer Part B) is r=3 cm