Question

A cyclinder has a volume of 703 π cm^3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply.

A) The formula for the volume of a cyclinder can be applied to find the area of the base.
B) To find the area of the base, multiply volume and height.
C) The radius of the cyclinder is half the height.
D) The area of the base is 38 π cm^2
E) To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.

Answer 1

See below.

Explanation:

A) applies here because Volume= π r^2 h where π r^2 is the area of the base.

D) The area of the base = 703 π / 18.5 = 38π cm^2.

E) Check that the volume is 703π cm^3:

V = π * 38* 18.5 = 703π.

Answer 2

See step-by-step explanation.

Explanation:

Statements that apply:

A) The volume formula can be used to find the area of the base. (V=A*h)

D) The area of the base is 38π

`A=(V)/(h) \\\\A=(703\pi )/(18.5)=38\pi`

E)
`A=(V)/(h) \\\\A=(703\pi )/(18.5)=38\pi`

Statements that don't apply and why:

B) The volume should be divided by the height to find the area

C) The radius of the cylinder is 38/2=18, which is not the half of 18.5