To calculate the volume of the spherical chocolate truffle, we can use the formula:
Volume = (4/3) * π * r^3
Plugging in the given radius of 12 mm and using 3.14 as an approximation for π:
Volume = (4/3) * 3.14 * (12)^3
= (4/3) * 3.14 * 1728
= 7238.08 mm³
Therefore, there is approximately 7238.08 mm³ of chocolate in the spherical chocolate truffle.
How much chocolate is in a spherical chocolate truffle with a radius of 12 mm? Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point
6 answers
The volume of a container measures 3,200 in.3 and contains a dozen tennis balls. Each tennis ball has a radius of 2.5 in. How much space in the container is empty? Use 3.14 as an approximation for pi.
To calculate the volume of a single tennis ball, we can use the formula:
Volume = (4/3) * π * r^3
Plugging in the given radius of 2.5 in and using 3.14 as an approximation for π:
Volume = (4/3) * 3.14 * (2.5)^3
= (4/3) * 3.14 * 15.625
= 65.38 in³ (rounded to the hundredth)
Since there are a dozen tennis balls, the total volume occupied by the tennis balls is:
Total volume of tennis balls = 12 * 65.38 in³
= 784.56 in³ (rounded to the hundredth)
To find the space in the container that is empty, we subtract the volume of the tennis balls from the volume of the container:
Empty space = Volume of container - Total volume of tennis balls
= 3200 in³ - 784.56 in³
= 2415.44 in³ (rounded to the hundredth)
Therefore, approximately 2415.44 in³ of space in the container is empty.
Volume = (4/3) * π * r^3
Plugging in the given radius of 2.5 in and using 3.14 as an approximation for π:
Volume = (4/3) * 3.14 * (2.5)^3
= (4/3) * 3.14 * 15.625
= 65.38 in³ (rounded to the hundredth)
Since there are a dozen tennis balls, the total volume occupied by the tennis balls is:
Total volume of tennis balls = 12 * 65.38 in³
= 784.56 in³ (rounded to the hundredth)
To find the space in the container that is empty, we subtract the volume of the tennis balls from the volume of the container:
Empty space = Volume of container - Total volume of tennis balls
= 3200 in³ - 784.56 in³
= 2415.44 in³ (rounded to the hundredth)
Therefore, approximately 2415.44 in³ of space in the container is empty.
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.
The formula for the volume of a sphere is given by:
Volume = (4/3) * π * r^3
Given the diameter of the basketball is 9.2 inches, the radius (r) can be calculated by dividing the diameter by 2:
r = 9.2 inches / 2
= 4.6 inches
Plugging in the given radius of 4.6 inches and using 3.14 as an approximation for π:
Volume = (4/3) * 3.14 * (4.6)^3
= (4/3) * 3.14 * 97.336
= 408.619 in³ (rounded to the nearest hundredth)
Therefore, the volume of the basketball is approximately 408.619 in³.
Volume = (4/3) * π * r^3
Given the diameter of the basketball is 9.2 inches, the radius (r) can be calculated by dividing the diameter by 2:
r = 9.2 inches / 2
= 4.6 inches
Plugging in the given radius of 4.6 inches and using 3.14 as an approximation for π:
Volume = (4/3) * 3.14 * (4.6)^3
= (4/3) * 3.14 * 97.336
= 408.619 in³ (rounded to the nearest hundredth)
Therefore, the volume of the basketball is approximately 408.619 in³.
Correct answers:
2,415
972(type the pi symbol after)
113.04
288(pi)
7,234.56
2,415
2,415
972(type the pi symbol after)
113.04
288(pi)
7,234.56
2,415