Question

Cone B has a height of 6 inches and a volume of 30 cubic inches. What is the radius of Cone B ? (Round to the nearest tenth )

a. 2.2 inches
b. 4.78 inches
c. 6.28 inches
d. 18.84 inches

Answer 1

The radius of Cone B is approximately 1.73 inches.

Step-by-step explanation:

To find the radius of Cone B, we can use the formula for the volume of a cone:

V = πr²h/3

Given that the height of Cone B is 6 inches and the volume is 30 cubic inches, we can substitute these values into the formula:

30 = πr²(6)/3

Next, we can simplify the equation:

10r² = 30

Finally, we can solve for the radius:

r² = 3

r ≈ √3 ≈ 1.73 inches (rounded to the nearest tenth)