How calculate the volume of a sphere?

How calculate the volume of a sphere?

If the surface area is multiplied by the diameter, the volume will be obtained, in which every point on its surface is equidistant from its center. Mathematically, to calculate the volume of a sphere, the following formula is used: The volume of a sphere = 4/3 𝜋 r³, where r is the radius of the sphere.

What is the volume of 7cm sphere?

The volume of the sphere with a radius of 7cm is 1437.33 cm3 and the volume of the sphere with a radius of 0.63m is 1.05 m³.

How do you find volume with radius?

Sphere Formulas in terms of radius r:

1. Volume of a sphere: V = (4/3)πr. …
2. Circumference of a sphere: C = 2πr.
3. Surface area of a sphere: A = 4πr.

What is the volume of 3cm sphere?

Hence we will get the desired result. Hence the volume of sphere of radius 3cm is 113.143cm3. Note- In order to solve this question, we must know the formula of volume of sphere i.e. 43πr3.

Why is it 4 3 for volume of a sphere?

Volume of a sphere = 4/3 πr3 If you consider a circle and a sphere, both are round. The difference between the two shapes is that a circle is a two-dimensional shape and a sphere is a three-dimensional shape which is the reason that we can measure the Volume and area of a Sphere.

Why is sphere formula?

You will find a point equidistant from any point on the surface of a sphere. The longest straight line that passes through the center of the sphere is called the diameter of the sphere. It is twice the length of the radius of the sphere….Formulas of a Sphere.

What is the volume of a circle with a radius of 7cm?

Answer: The volume of the hemisphere whose radius is 7 cm is 718. 6666 cubic cm.

What is the volume of a 6 cm sphere?

The radius of a sphere is 6 centimeters. The volume of the sphere is 288π cm3.

What is the volume of 7 cm?

We know, volume of a cube = (side × side × side) cubic units. Here, side = 7 cm. Therefore, volume of a cube = 343 cubic cm.

How do you find volume with radius and diameter?

How do you find radius of a sphere?

The radius is half the diameter, so use the formula r = D/2. This is identical to the method used for calculating the radius of a circle from its diameter. If you have a sphere with a diameter of 16 cm, find the radius by dividing 16/2 to get 8 cm. If the diameter is 42, then the radius is 21.

What is radius of sphere?

To calculate the radius r of a sphere given the surface area ( A ), rearrange the formula: A = 4 * π * r² To isolate the radius: r = √[A / (4 * π)] Notice how the area of a sphere is exactly four times the area of the circle with the same radius!

What is the volume of a 3m sphere?

The volume of a sphere is equal to 43 times Pi π times the radius cubed. Substitute the value of the radius r=3 into the formula to find the volume of the sphere. Pi π is approximately equal to 3.14 . Combine 43 and π .

What is the volume of a sphere with a radius of 4?

Because, your formula tells you to cube the radius. Since the radius is in inches, then you also cube your inches. Thus your answer is 267.95 inches cubed. Now, if your radius was 4 feet instead of 4 inches, then your answer would be 267.95 feet cubed.

How do you solve for volume?

To find the volume of a box, simply multiply length, width, and height — and you’re good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters.

What is 4 pi r squared?

The surface area of a sphere of radius r is 4pi r^2; its volume is 4/3 pi r^3. The acceleration required to keep an object in a circle of radius r at uniform speed v is a = v^2/r. The gravitational force between two objects of mass M and m separated by a distance r is G M m/r^2.

How do you calculate the volume of a sphere without a calculator?