The volume of a right circular cone with both 2507
diameter and height equal to his What is the
3
value of h?
A) 5
B) 10
C) 20
D) 40

Question:

The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.

What is the value of h?

A. 5

Step-by-step explanation:

Given

Solid Shape: Cone

Volume = 250/7

Diameter = Height

Required

Find the height of the cone

Provided that the diameter (D) and the height (h) are equal; This implies that

D = h ------ (1)

Also, Diameter (D) = 2 * Radius (r)

D = 2r

Substitute 2r for D in (1)

2r = h

Multiply both sides by ½

½ * 2r = ½ * h

r = ½h

Volume of a cone is calculated by;

Volume = ⅓πr²h

⅓πr²h = 250/7

Substitute ½h for r

Take π as 22/7, the expression becomes

Open the bracket

Multiply both sides by 7

Multiply both sides by 3

Multiply both sides by 4

Divide both sides by 22

Take cube root of both sides

(Approximated)

b

step-by-step explanation: