What is the volume of the cylinder below? Use 3.14 for Pi and round to the nearest tenth.
A cylinder with a height of 11 centimeters and diameter of 13 centimeters.
464.8 cm3
729.7 cm3
1,234.8 cm3
1,459.3 cm3
To find the volume of a cylinder, you need to use the formula V = π * r^2 * h, where π is approximately 3.14, r is the radius of the cylinder (half of the diameter), and h is the height of the cylinder.
In this case, the diameter is 13 centimeters, so the radius is 13/2 = 6.5 centimeters. The height is given as 11 centimeters.
Plugging these values into the formula, we get V = 3.14 * 6.5^2 * 11 = 3.14 * 42.25 * 11 ≈ 1463.8 cm^3.
Rounding to the nearest tenth, the volume of the cylinder is approximately 1,463.8 cm^3.
Therefore, the correct answer is 1,459.3 cm3.
What is the area of the base in the figure below?
A cylinder with height 12 and diameter 6.
9 square units
9 pi square units
72 square units
72 pi square units
To find the area of the base of a cylinder, you need to use the formula A = π * r^2, where π is approximately 3.14 and r is the radius of the cylinder (half of the diameter).
In this case, the diameter is 6, so the radius is 6/2 = 3.
Plugging this value into the formula, we get A = 3.14 * 3^2 = 3.14 * 9 = 28.26 square units.
Since we are asked to round to the nearest whole number, the area of the base is approximately 28 square units.
Therefore, the correct answer is 28 square units.
What measures of the cylinder do 26 and 34 describe?
A cylinder with height of 34 centimeters and diameter of 26 centimeters.
radius and diameter
radius and height
diameter and height
diameter and area of base
The measures 26 and 34 describe the diameter and height of the cylinder.
Therefore, the correct answer is diameter and height.
Jeremy must find the volume of the shaded body formed when a cylinder of radius 2 is removed from a cylinder of radius 5 as pictured below.
A cylinder of radius 2 is removed from a cylinder of radius 5. The height of the cylinders is 18.
If the height of the cylinders is 18 units, which expression is equivalent to the volume of the shaded part of the figure in cubic units?
mc015-2.jpg
mc015-3.jpg
mc015-4.jpg
mc015-5.jpg
The volume of the shaded part of the figure can be found by subtracting the volume of the smaller cylinder from the volume of the larger cylinder.
The formula for the volume of a cylinder is V = π * r^2 * h, where π is approximately 3.14, r is the radius of the cylinder, and h is the height of the cylinder.
For the larger cylinder with a radius of 5 and a height of 18, the volume is V1 = 3.14 * 5^2 * 18 = 3.14 * 25 * 18 = 1413.6 cubic units.
For the smaller cylinder with a radius of 2 and a height of 18, the volume is V2 = 3.14 * 2^2 * 18 = 3.14 * 4 * 18 = 226.08 cubic units.
To find the volume of the shaded part, we subtract V2 from V1: V = V1 - V2 = 1413.6 - 226.08 = 1187.52 cubic units.
Therefore, the correct answer is mc015-3.jpg, 1187.52 cubic units.