A rectangular prism has a length of 15 inches, a height of 9 inches, and a width of 7 inches. What is its volume, in cubic inches?
To find the volume of a rectangular prism, you multiply the length, width, and height together.
Volume = Length x Width x Height
Volume = 15 inches x 7 inches x 9 inches
Volume = 945 cubic inches
So, the volume of the rectangular prism is 945 cubic inches.
What is the volume, in cubic inches, of a cylinder with a height of 7 inches and a base radius of 2 inches, to the nearest tenths place?
To find the volume of a cylinder, you use the formula:
Volume = πr^2h
where r is the radius and h is the height.
Given that the base radius is 2 inches and the height is 7 inches, we can calculate the volume as follows:
r = 2 inches
h = 7 inches
Volume = π(2)^2(7)
Volume = π(4)(7)
Volume = 28π
To get an approximate decimal value for the volume, we can use 3.14 as an approximation for the value of π:
Volume ≈ 28 x 3.14 = 87.92 cubic inches
Therefore, the volume of the cylinder is approximately 87.92 cubic inches to the nearest tenths place.
What is the volume of a cylinder, in cubic m, with a height of 5m and a base diameter of 20m? Round to the nearest tenths place
To find the volume of a cylinder, you use the formula:
Volume = πr^2h
Given that the base diameter is 20 meters, we first need to find the radius. The radius is half of the diameter, so the radius is 10 meters.
The height is given as 5 meters.
Now we can calculate the volume:
r = 10 meters
h = 5 meters
Volume = π(10)^2(5)
Volume = π(100)(5)
Volume = 500π
To get an approximate decimal value for the volume, we can use 3.14 as an approximation for the value of π:
Volume ≈ 500 x 3.14 = 1570 cubic meters
Therefore, the volume of the cylinder is approximately 1570 cubic meters to the nearest tenths place.