find the difference between the volume of the cylinder 3-in radius, long 7 and the volume of the rectangular long 8-in wide 5-in and 4-in.round your answer to the nearest cubic inch.
cylinder V = 7 * pi * 3 * 3
box V = 8 * 5 * 4
I do not understand what you mean by a
"rectangular long 8-in wide 5-in and 4-in.round"
how to find area of the rectangle in square inches when the width is 6in and the length is 2ft
To find the difference between the volume of the cylinder and the volume of the rectangular prism, we need to calculate the volumes of both shapes and then subtract one from the other.
1. Volume of the cylinder:
The formula for the volume of a cylinder is V = π * r^2 * h, where "π" is a mathematical constant approximately equal to 3.14159, "r" is the radius of the base, and "h" is the height of the cylinder.
Given that the cylinder has a radius of 3 inches and a length of 7 inches, we can substitute these values into the formula:
V_cylinder = π * (3 in)^2 * 7 in
V_cylinder ≈ 3.14159 * 9 in^2 * 7 in
V_cylinder ≈ 197.92069 in^3
2. Volume of the rectangular prism:
The formula for the volume of a rectangular prism is V = l * w * h, where "l" is the length, "w" is the width, and "h" is the height.
Given that the rectangular prism has a width of 8 inches, a length of 5 inches, and a height of 4 inches, we can substitute these values into the formula:
V_prism = 5 in * 8 in * 4 in
V_prism = 160 in^3
3. Difference in volumes:
To find the difference between the volume of the cylinder and the volume of the rectangular prism, subtract the volume of the prism from the volume of the cylinder:
Difference = V_cylinder - V_prism
Difference = 197.92069 in^3 - 160 in^3
Difference ≈ 37.92069 in^3
Therefore, the difference between the volume of the cylinder and the volume of the rectangular prism, rounded to the nearest cubic inch, is approximately 38 cubic inches.