Find the volume of a sphere with a radius of 9 cm. Leave your answer in terms of pi.(1 point)
The volume is
cm3.
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.
Substituting the given radius of 9 cm into the formula, we get:
V = (4/3)π(9^3) = (4/3)π(729) = 972π cm^3
Therefore, the volume of the sphere is 972π cm^3.
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.
Substituting the given radius of 3 m and the approximation of π as 3.14 into the formula, we get:
V = (4/3)(3.14)(3^3) = (4/3)(3.14)(27) = 113.04 m^3
Rounding to the nearest hundredth, the volume of the sphere is 113.04 m^3.
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.
We are given the diameter of the sphere, which is 12 m. The radius can be found by dividing the diameter by 2:
r = 12 m / 2 = 6 m
Substituting the radius into the formula, we get:
V = (4/3)π(6^3) = (4/3)π(216) = 288π m^3
Therefore, the volume of the sphere is 288π m^3.
To find the volume of the chocolate truffle, we can use the formula V = (4/3)πr^3, where V is the volume and r is the radius of the truffle.
Given that the radius of the truffle is 12 mm and using π as an approximation of 3.14, we can calculate the volume as follows:
V = (4/3) * 3.14 * (12^3)
= (4/3) * 3.14 * 1728
= 7234.56 mm^3
Therefore, the chocolate truffle has approximately 7234.56 mm^3 of chocolate. Rounded to the nearest hundredth, the volume is 7234.56 mm^3.
To find the volume of 12 tennis balls, we need to calculate the volume of one tennis ball and then multiply it by 12.
The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.
Given that the radius of each tennis ball is 2.5 in and using π as an approximation of 3.14, we can calculate the volume of one tennis ball as follows:
V_ball = (4/3) * 3.14 * (2.5^3)
= (4/3) * 3.14 * 15.625
= 65.4167 in^3
The volume of 12 tennis balls is then:
V_12_balls = 12 * V_ball
= 12 * 65.4167
= 785 in^3
To find the empty space in the container, we subtract the volume of the tennis balls from the volume of the container:
Empty space = Volume of container - Volume of 12 tennis balls
= 3200 - 785
= 2415 in^3
Therefore, the empty space in the container is approximately 2415 in^3.
Find the volume of a sphere with a radius of 3 m. Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point)
The volume is
m3.
Find the volume of a sphere with a diameter 12 m. Leave your answer in terms of pi.(1 point)
The volume is
m3.
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)
mm3
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. Round to the nearest whole number, if necessary.(1 point)
in.3
To find the volume of a sphere, you can use the formula V = (4/3) * π * r^3, where V is the volume and r is the radius of the sphere.
In this case, the radius of the sphere is given as 9 cm. Plugging this value into the formula, we get:
V = (4/3) * π * (9^3)
= (4/3) * π * 729
= 3056π
Therefore, the volume of the sphere is 3056π cm^3.