Show the steps to determining the volume of questions 1-3
1. A cylinder with a radius of 6.2cm and height of 12.4cm what is the volume.
2. A cone with a radius of 6.2cm and a height of 12.4cm what is the volume.
3. A sphere with a radius of 6.2cm what is the volume
http://www.math.com/tables/geometry/volumes.htm
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Sure! I can guide you through the steps to determine the volume of each of the given shapes.
1. Volume of a Cylinder:
The formula to calculate the volume of a cylinder is V = πr^2h, where V represents the volume, r is the radius, and h is the height of the cylinder. Let's substitute the given values into the formula:
V = π(6.2 cm)^2(12.4 cm)
V ≈ 3.14 × 38.44 cm^2 × 12.4 cm
V ≈ 1506.02 cm^3
Therefore, the volume of the cylinder is approximately 1506.02 cubic centimeters.
2. Volume of a Cone:
The formula to calculate the volume of a cone is V = (1/3)πr^2h, where V represents the volume, r is the radius, and h is the height of the cone. Let's substitute the given values into the formula:
V = (1/3)π(6.2 cm)^2(12.4 cm)
V ≈ (1/3) × 3.14 × 38.44 cm^2 × 12.4 cm
V ≈ 617.40 cm^3
Therefore, the volume of the cone is approximately 617.40 cubic centimeters.
3. Volume of a Sphere:
The formula to calculate the volume of a sphere is V = (4/3)πr^3, where V represents the volume, and r is the radius of the sphere. Let's substitute the given value into the formula:
V = (4/3)π(6.2 cm)^3
V ≈ (4/3) × 3.14 × 238.328 cm^3
V ≈ 1254.60 cm^3
Therefore, the volume of the sphere is approximately 1254.60 cubic centimeters.