Rodolfo wants to determine the volume of a piece of cake he takes so measurements and determines that the height of the cake is 7 cm and the area of the base is 40 cm to the second power. What is the volume of the piece of cake?
A. 280 cm to the 3rd power
B. 47 cm to the 3rd power
C. 160 cm to the 3rd power
D. 11,200 cm to the 3rd power
To determine the volume of the piece of cake, we can use the formula for the volume of a prism: volume = base area * height.
Given that the height of the cake is 7 cm and the area of the base is 40 cm^2:
volume = 40 cm^2 * 7 cm
volume = 280 cm^3
Therefore, the volume of the piece of cake is 280 cm^3, which corresponds to option A. 280 cm^3.
The height of a cylinder is 9 cm and the radius is 3 cm
To find the volume of a cylinder, you can use the formula:
Volume = π * radius^2 * height
Given the height of the cylinder is 9 cm and the radius is 3 cm:
Volume = π * 3^2 * 9
Volume = π * 9 * 9
Volume = 81π
To get the approximate value of the volume, you can use 3.14 as an approximation for π:
Volume ≈ 81 * 3.14
Volume ≈ 254.34 cm^3
Therefore, the volume of the cylinder is approximately 254.34 cm^3.
The height of a cylinder is 9 cm and the radius is 3 cm.
solve the volume for the cylinder
To find the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
Given that the height (h) of the cylinder is 9 cm and the radius (r) is 3 cm:
Volume = π * 3^2 * 9
Volume = π * 9 * 9
Volume = 81π cubic cm
Approximating π to 3.14:
Volume ≈ 81 * 3.14
Volume ≈ 254.34 cubic cm
Therefore, the volume of the cylinder is approximately 254.34 cubic cm.