Question

The volume of a cone is 3 comma 532.5 yd cubed . The radius and height of the cone are equal. What is the radius of the​ cone? Use 3.14 for pi

Answer 1

Answer:

r = 14.998 yd

Step-by-step explanation:

Volume of a cone

V = πr^2h/3

Given:

V = 3,532 yd cubed

π - 3.14

r = h

Since the radius and the height of the cone are equal

So, let r = h = x yd

V = 3.14 * x^2 * x/3

3532 = 3.14x^3/3

3532 = 1.047x^3

Divide both sides by 1.047

3532/1.047 = x^3

3373.45 = x^3

x = 14.998 yd

Since r = h = x

r = h = 14.998yd

r = 14.998yd

Hint: to check if the value of radius and the height are correct, insert the values into the formula

V = πr^2h/3

V = 3.14 * 14.998^2 * 14.998/3

= 3.14 * 224.940 * 4.999

= 3530.852

≈ 3531 yd cubed

Due to approximations