Answer:
Volume of cylinder, [tex]V=1024\pi\ cm^3[/tex]
Step-by-step explanation:
Given that,
Area of base of a cylinder, [tex]A=64\pi\ cm^2[/tex]
Height, [tex]h=2r[/tex], twice of radius
We know that the base area of the cylinder is in the form of a circle. So,
[tex]\pi r^2=64\pi\\\\r=8\ cm[/tex], r is radius of circle.
Height of cylinder becomes, h = 2r = 16 cm
Now the volume of cylinder is given by :
[tex]V=\pi r^2\times h\\\\V=A\times h\\\\V=64\pi\times 16\\\\V=1024\pi\ cm^3[/tex]
So, the correct option is (d).
