Question

the volume of a right circular cylinder is V=pi r^2h , where r is the radius h is the height. What is the volume of the right circular cylinder with a radius of x^3 and a height of x^2 in the terms of x and pi.

Answer 1

πx^8

Explanation:

V=πr²h

Now plugin r=x³ and h=x² in the formula above:

V=π(x³)²(x²) multiply powers 3x2=6

=π(x^6)(x²) = πx^8 add powers 6+2=8

Answer 2

Answer: pi*x^8

Work Shown:

V = pi*r^2*h

V = pi*(x^3)^2*x^2

V = pi*x^(3*2)*x^2

V = pi*x^6*x^2

V = pi*x^(6+2)

V = pi*x^8