Find the volume of a sphere with a radius of 9 cm. Leave your answer in terms of pi.(1 point)
The volume is
3053.63 cubic cm.
Use the formula for the volume of a sphere to find the volume of a basketball that has a diameter of 9.2 inches. Use 3.14 as an approximation for pi and round your answer to the nearest hundredth, if necessary.(1 point)
Responses
1,222.54 in.3
1,222.54 in cubed
407.51 in.3
407.51 inches cubed
3,260.11 in.3
3,260.11 inches cubed
115.55 in.3
The correct answer is 407.51 inches cubed.
Find the volume of a sphere with a radius of 1.8 yards. Leave your answer in terms of pi. Round your answer to the nearest hundredth, if necessary.(1 point)
Responses
24.43π yds3
24.43 pi yds cubed
7.78π yds3
7.78 pi yds cubed
23.34π yds3
23.34 pi yds cubed
7.2π yds3
The correct answer is 24.43π yds3.
Use the formula for the volume of a sphere to solve the following problem.
How much air is needed to fill a basketball with a diameter of 9 inches? Use 3.14 as an approximation for pi. Round your answer to the nearest tenth.
(1 point)
Responses
190.8 in.3
190.8 inches cubed
113 in.3
113 inches cubed
381.5 in.3
381.5 inches cubed
3,052.1 in.3
3,052.1 inches cubed
The correct answer is 381.5 in.3
The volume of a container measures 4,000 mm3 and contains 50 marbles. Each marble has a radius of 2 mm. Use 3.14 as an approximation for pi. How much space in the box is unused? Round your answer to the nearest tenth.(1 point)
Responses
2,325.3 mm3
2,325.3 mm cubed
33.5 mm3
33.5 mm cubed
3,900 mm3
3,900 mm cubed
1,674.7 mm3
To find the volume of 50 marbles, you can calculate the total volume of the marbles and subtract it from the total volume of the container.
The volume of one marble can be calculated using the formula for the volume of a sphere: V = (4/3) * pi * r^3, where r is the radius of the marble.
Given that the radius of each marble is 2 mm, the volume of one marble is: V_marble = (4/3) * 3.14 * (2)^3 = 4.19 mm^3 (rounded to two decimal places).
The total volume of 50 marbles is then: V_total = V_marble * 50 = 4.19 mm^3 * 50 = 209.5 mm^3 (rounded to one decimal place).
To find the unused space in the box, subtract the volume of the marbles from the total volume of the container: Unused space = Total volume - Volume of marbles = 4000 mm^3 - 209.5 mm^3 = 3790.5 mm^3 (rounded to one decimal place).
Therefore, the correct answer is 3,790.5 mm3.