Question

A cylinder, cone, and sphere are show below. The three figures have the same radius. If the radius is 3, what is each volume?

Answer 1

Answer:

cylinder = 27π

cone =  9π

sphere = 36π

Step-by-step explanation:

volume of a cylinder = πr²h where r = radius and h = height

height of cylinder (h) = 3 and radius (r) = 3

so volume = π(3)²3

==> simplify exponent

volume = π9(3)

==> multiply 9 and 3

volume of cylinder = 27π

Volume of a cone = πr²(h/3) where r = radius and h = height

height of cone (h) = 3 and radius (r) = 3

so volume = π(3)²(3/3)

==> simplify exponent

volume = π9(3/3)

==> divide 3 by 3

volume = π9(1)

==> multiply 9 and 1

volume of cone = 9π

volume of a sphere = 4/3πr³ where r = radius

radius = 3

so volume = 4/3π(3)³

==> simplify exponent

volume = 4/3π27

==> multiply 4/3 and 27

volume of sphere = 36π