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How do you calculate the volume of a sphere when you are given the diameter?
Wiki User
∙ 11y ago
volume of a sphere is 4/3 pi x r^3
or, 4/3 x 3.142 x r ^3
r, or radius would be 1/2 the diameter, hence r ^3 would come to (d^3)/8
Solved :-)
Wiki User
∙ 11y ago
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How do you find the diameter of a sphere with a given volume?
Make the radius the subject of the formula 4/3*pi* radius3 = volume and then double it to give the diameter.
You are told that the volume of an object of unknown shape is given by V equals where V is the volume and d is the diameter of the sphere?
The only shape whose volume could be determined by diameter alone is a sphere. The volume of a sphere is 4πr3/3. The radius of a sphere is half it's diameter, so you can say that given the diameter, d, the volume, v, can be determined with the equation: v = 4π(d / 2)3 / 3 v = (4πd3 / 8) / 3 v = 4πd3 / 24 v = πd3 / 6
How do you find the height of a sphere when you have the volume?
Vol = 4/3*pi*r3 so given the volume, you can calculate the radius. Height of sphere = 2*radius.
How do you calculate the volume of a sphere when only the height of 6 cm is given?
The height of a sphere is the same as its diameter, and the formula for volume of a sphere is (4/3) x pi X radius cubed. The radius is half the diameter, and in this instance the formula yields about 113.0973355 cubic inches if the value 6 is considered exact, otherwise 1.1 X 102 cubic centimeters to the justified number of significant digits.The formula for calculating the volume of a sphere is: Volume 4/3 * π * r3. Note that the given height of the sphere 6cm is equal to the diameter of the sphere. The formula requires a radius or half the diameter. Therefore, the Volume 4/3 * 3.14 * (3 * 3 * 3 or 27) = 113.0399 or 113.04 cubic centimeters.Note that the given unit of measurement is in centimeters. You cannot just change the unit of measurement to inches and back to centimeters. The above calculation is also a few hundredths off.
Example problem with solution in volume of sphere?
Example problem: "What is the volume of a sphere whose diameter is 10 units ?"The volume of any sphere is: V = 4/3 πR3, R is the radius of the sphere, π = 'pi' = approx. 3.14159For the given sphere, the diameter is 10 units. The radius is half the diameter = 5 units.V = 4/3 π R3 = 4/3 x (3.14159) x (5)3 = 4/3 x (3.14159) x (125) = 523.6 cubic units (rounded).
How do you work out the volume of a sphere with a known diameter?
The volume inside a sphere (that is, the volume of the ball) is given by the formula:-Volume = 4/3πr3where 'r' is the radius of the sphere and 'π' is the constant piThe diameter of a sphere is two times its radius, thus a sphere 8 meters in diameter has a radius of 4 meters.
How do you find the diameter of a sphere with a given volume?
Make the radius the subject of the formula 4/3*pi* radius3 = volume and then double it to give the diameter.
How do you find the diameter of a sphere in solution when change in solution volume after addition of sphere is given?
The change in solution volume will be the volume of the sphere. Let's call that V We know that the volume of a sphere is 4/3 Pi x r^3 So the cube root of 3v/4Pi is the radius, double it and you have the diameter. OR Volume of sphere is 1/6 Pixd^3 so 6V/Pi is the diameter cubed. Take the cube root of 6V/Pi and that is the diameter.
You are told that the volume of an object of unknown shape is given by V equals where V is the volume and d is the diameter of the sphere?
The only shape whose volume could be determined by diameter alone is a sphere. The volume of a sphere is 4πr3/3. The radius of a sphere is half it's diameter, so you can say that given the diameter, d, the volume, v, can be determined with the equation: v = 4π(d / 2)3 / 3 v = (4πd3 / 8) / 3 v = 4πd3 / 24 v = πd3 / 6
How do you find the height of a sphere when you have the volume?
Vol = 4/3*pi*r3 so given the volume, you can calculate the radius. Height of sphere = 2*radius.
How do you calculate the volume of a sphere when only the height of 6 cm is given?
The height of a sphere is the same as its diameter, and the formula for volume of a sphere is (4/3) x pi X radius cubed. The radius is half the diameter, and in this instance the formula yields about 113.0973355 cubic inches if the value 6 is considered exact, otherwise 1.1 X 102 cubic centimeters to the justified number of significant digits.The formula for calculating the volume of a sphere is: Volume 4/3 * π * r3. Note that the given height of the sphere 6cm is equal to the diameter of the sphere. The formula requires a radius or half the diameter. Therefore, the Volume 4/3 * 3.14 * (3 * 3 * 3 or 27) = 113.0399 or 113.04 cubic centimeters.Note that the given unit of measurement is in centimeters. You cannot just change the unit of measurement to inches and back to centimeters. The above calculation is also a few hundredths off.
You are told that the volume of an object of unknown shape is given by V equals where V is the volume and d is the diameter of the sphere Is this equation dimensionally correct?
Circle.
What is the volume or a sphere?
The volume of a sphere is the amount of space it occupies. Given a sphere's radius, r, the volume is 4/3 ∏r3
Example problem with solution in volume of sphere?
Example problem: "What is the volume of a sphere whose diameter is 10 units ?"The volume of any sphere is: V = 4/3 πR3, R is the radius of the sphere, π = 'pi' = approx. 3.14159For the given sphere, the diameter is 10 units. The radius is half the diameter = 5 units.V = 4/3 π R3 = 4/3 x (3.14159) x (5)3 = 4/3 x (3.14159) x (125) = 523.6 cubic units (rounded).
What is the ratio of the volumes of a sphere and a cone with the base diameter and the altitude of the cone equal to the diameter of the sphere?
The ratio is given as the sphere volume divided by the volume of the cone. The volume of a sphere that satisfies these conditions is 4/3 x pi x r cubed, and the volume for the cone is 2/3 x pi x r cubed, where r is the radius and pi is equal to 3.14. Dividing these two volumes, you find the resulting ratio is 2.
How do you calculate weight when diameter length and density is given?
Answer 1It is necessary to assume that the shape is a sphere, since that is the only shape whose volume is determined by only its radius/diameter.Radius = Diameter/2Volume = 4/3*pi*r3 or 1/6*pi*d3Weight = Density*VolumeAnswer 2If you are given length as well as diameter, the object could be in the shape of a cylinder. The formula for the volume of a cylinder is V = (pi)r2h. Use the formulas for radius and weight given in answer 1.
If the radius of a tennis ball is 3.5 cm what percentage of the tennis ball can is occupied by air?
How many balls are in one can? Three? If so, then calculate the volume of one ball and multiply by three. That's the volume occupied by the balls. The volume of a sphere is given by the formula V = 4(Pi)r3/3. Now calculate the volume of the cylinder. Assume that its height is three times the diameter of a ball (if there are three balls in the can). Remember that the diameter is twice the radius. Also, assume that the radius of the can is equal to the radius of one ball. The volume of a cylinder is given by the formula V = (Pi)r2h. Now subtract the volume of the balls from the volume of the can.
