The expression
ℼr^2h represents the volume of a cylinder with radius r and height h. What is the volume, to the nearest tenth of a cubic inch, of the juice can below? Use 3.14 for ℼ.
the can says r= 1.2in h = 5.3in
To find the volume of the juice can, we can plug the given values into the formula ℼr^2h.
ℼ = 3.14
r = 1.2 inches
h = 5.3 inches
V = ℼr^2h
V = 3.14 * (1.2)^2 * 5.3
V ≈ 3.14 * 1.44 * 5.3
V ≈ 22.73 cubic inches
Therefore, the volume of the juice can is approximately 22.73 cubic inches.
To find the volume of the juice can, we can substitute the values of radius (r) and height (h) into the formula for the volume of a cylinder (ℼr^2h).
Given:
ℼ = 3.14
r = 1.2 in
h = 5.3 in
Let's plug these values into the formula and calculate the volume:
Volume = ℼ * r^2 * h
= 3.14 * (1.2)^2 * 5.3
Simplifying:
= 3.14 * 1.44 * 5.3
≈ 23.8728 cubic inches
Rounded to the nearest tenth, the volume of the juice can is approximately 23.9 cubic inches.