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?
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Plugging in the given values, V = π(3^2)(6) = 54π cubic inches.
Therefore, the volume of the can is 54π cubic inches.
A gas tank has a height of 8 feet and a radius of 6 feet. What is the volume, in cubic inches, of the can?(1 point)
To find the volume of a cylindrical can, we can use the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, the radius (r) is given as 3 inches, and the height (h) is given as 6 inches.
Substituting these values into the formula, we have V = π(3^2)(6).
To calculate this, we first square the radius: 3^2 = 9.
Then we multiply this by the height: 9 * 6 = 54.
Finally, we multiply the result by π (pi), which is approximately 3.14159: 54 * π ≈ 169.65.
Therefore, the volume of the can is approximately 169.65 cubic inches.
To find the volume of the gas tank, we will first need to convert the given dimensions from feet to inches.
1 foot = 12 inches
Therefore, the height of the gas tank is 8 feet * 12 inches/foot = 96 inches.
Similarly, the radius of the gas tank is 6 feet * 12 inches/foot = 72 inches.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Plugging in the given values, V = π(72^2)(96) ≈ 196,349.5408 cubic inches.
Therefore, the volume of the can is approximately 196,349.5408 cubic inches.