A can of peas has a height of 6 inches and a radius of 3 inches. What is the volume, in cubic inches, of the can?(1 point)
cubic inches
A gas tank has a height of 8 feet and a width of 6 feet. What is the volume, in cubic feet, of the gas tank?(1 point)
cubic feet
The volume of a rectangular prism can be calculated using the formula V = lwh, where l is the length, w is the width, and h is the height.
In this case, the height is 8 feet and the width is 6 feet. Plugging these values into the formula, we get:
V = 8 * 6 * h
V = 48 * h
Therefore, the volume of the gas tank is 48h cubic feet. However, since the length of the gas tank is not given, we cannot determine the exact volume.
To find the volume of the can, we can use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the radius of the can is 3 inches and the height is 6 inches, we can substitute these values into the formula:
V = π * (3 inches)^2 * 6 inches
Now, let's calculate this:
V = π * 9 inches^2 * 6 inches
The square of 9 inches is 81 inches^2, so we have:
V = π * 81 inches^2 * 6 inches
Multiplying these values together, we get:
V = 486π inches^3
So, the volume of the can is 486π cubic inches.
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height.
In this case, the radius is 3 inches and the height is 6 inches. Plugging these values into the formula, we get:
V = π(3^2)(6)
V = π(9)(6)
V = 54π
Therefore, the volume of the can is 54π cubic inches.