Question

A cylinder has a circular base with an area of 40 cm² and a height of 60 cm. Determine the volume of a cone that has five times the radius and six times the

height of the cylinder.
Select one:

Answer 1

A cylinder has a circular base with an area of 40 cm², the base is a circle with an area of 40cm²

area circle =pi*r²

40 =pi*r²

40=3.14*r²

r²= √40/3.14 approx. 12.7cm

r= √12.7about 3.56cm

volume of a cone that has five times the radius and six times the

cylinder height=

V=(pi*r²*h)/3

the 2nd cone has a radius 5 times greater = 5*3.56=17.8cm

the height 6 times greater = 60*6=360cm

V= (ft*17.8²*360)/3=38020.8ft(cm^3) approx.119385.312cm^3

Explanation: