131k views
3 votes
How much wax is needed to make a cone-shaped candle with a radius of 2 cm and a height of 6 cm?​

User DamithH
by
8.9k points

1 Answer

2 votes

To find the amount of wax needed to make a cone-shaped candle, we need to calculate the volume of the cone. The formula for the volume of a cone is:

V = (1/3) * π * r^2 * h

where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we get:

V = (1/3) * π * (2 cm)^2 * 6 cm

V = (1/3) * π * 4 cm^2 * 6 cm

V = (1/3) * π * 24 cm^3

V = 8π cm^3

Therefore, the volume of the cone-shaped candle is 8π cubic centimeters. This is also the amount of wax needed to make the candle.

To obtain a numerical approximation of this value, we can use the approximation π ≈ 3.14:

V ≈ 8 * 3.14 ≈ 25.12 cubic centimeters

So, approximately 25.12 cubic centimeters of wax is needed to make the cone-shaped candle.

User Benjamin Diele
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories