The height of a cone is two times its base diameter. what is the volume of the cone in terms of its base radius r? a. v=(pi)(r²) b. v=(pi)(r³) c. v=(pi)(r³) d. v=(pi)(r²)

B

Step-by-step explanation:

Assume the radius is r so the diameter is 2r

Height=2*d=2(2r)=4r since the diameter is twice the radius

Volume of cone=1/3 * pi*r^2*h

                         = 1/3 * pi*r^2*(4r)

                         =4/3 *pi *r^3

So B

B

h=2d

r=d/2

so h in terms of r is;

h=4r

V=pi*r^2*h/3

V=pi*r^2*4r/3=pi*4r^3/3=4/3(pi)(r^3)

8 2/3 is the answer

step-by-step explanation: just use a calculator

where is the option given