We know that volume of a cone=(1/3)*pi*r²*h clear variable h volume=(1/3)*pi*r²*h-----> multiply by 3 3*volume=pi*r²*h----> divide by (pi*r²) 3*volume/(pi*r²)=h h=3*volume/[pi*r²]
in this problem volume=147*pi cm³ r=7 cm so h=3*[147*pi]/[pi*7²]-----> h=3*147/49----> h=9 cm
the answer is the expression that can be used for calculate the height of the cone is h=3*volume/[pi*r²] the height of the cone is h=9 cm
