WILL GIVE BRAINLIEST A paint can has a diameter of 17 centimeters and a height of 24 centimeters. How many cubic centimeters of paint will fill the can? 5,444.76 cm3 21,779.04 cm3 1,281.12 cm3 7,686.72 cm3
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given:
A paint can has a diameter of 17 centimeters and a height of 24 centimeters.
Determine the volume of the paint.
Solution:
Let us assume that the paint is cylindrical in shape, therefore we can use the formula for the volume of a cylinder.
Formula for the volume of a cylinder:
V=πr^2h
d = 17 cm
r = 8.5 cm
substitute the values of the radius and the height to the formual.
V=πr^2h
V=π(8.5cm)^2 (24 cm)
V=π(72.25cm^2) (24 cm)
V=1734π cm^3
V = 5447.52 cm^3
Final answer:
V = 5447.52 cm^3