The cylinder above has a base area of 4pi cm^2 and a height of 5 cm. What is the volume of the cylinder?
To find the volume of a cylinder, you can use the formula:
Volume = Base Area x Height
Given that the base area is 4π cm^2 and the height is 5 cm, you can substitute these values into the formula:
Volume = 4π cm^2 x 5 cm
Volume = 20π cm^3
Therefore, the volume of the cylinder is 20π cubic centimeters.
Arushi has gift box that is the shape of a cube to wrap presents. If each side length is 8.5 in, how much space is in the box? Round your answer to the nearest hundredth.
To find the volume of a cube, you can use the formula:
Volume = Side length^3
Given that each side length is 8.5 inches, you can substitute this value into the formula:
Volume = 8.5 in^3
Volume = 614.125 in^3
Therefore, the volume of the cube is 614.125 cubic inches.
Lara is filling a jar with coffee powder. The diameter of the jar is 2.75 in and the height she plans on filling the jar to is
4.6 in.
What is the area of the base?
The area of the base of the jar, which is a circle, can be found using the formula for the area of a circle:
Area = π * (radius)^2
Given that the diameter of the jar is 2.75 in, the radius (r) can be calculated by dividing the diameter by 2:
Radius (r) = 2.75 in / 2 = 1.375 in
Now, substitute the radius into the area formula:
Area = π * (1.375)^2
Area ≈ π * 1.890625
Area ≈ 5.943 in^2
Therefore, the area of the base of the jar is approximately 5.943 square inches.