How do you find the diameter of a sphere given the surface area?

How do you find the diameter of a sphere given the surface area?

Diameter of a sphere: d = 2 * r , Surface area of a sphere: A = 4 * π * r² , Volume of a sphere: V = 4/3 * π * r³ , Surface to volume ratio of a sphere: A / V = 3 / r .

Can a sphere have the same volume and surface area?

Area = 4 × π × r2 square units. Similarly, its volume is 4 × π/3 cubic feet = 2304 π cubic inches. So, your question really has no meaning: By choosing units appropriately, every sphere will have the same numerical value for its volume and surface area!

Are surface area and diameter the same?

The diameter of a circle is the straight-line measurement from one edge of the circle to the other, crossing through the center. The surface area of a circle, or any two-dimensional closed curve, is the total area contained by that curve.

What is the radius of a cylinder whose volume and surface area are numerically equal?

= pie*r^2*h = 2*pie*r*h. = r = 2. (pie , r , h are cut and r and 2 are left. ) so radius will be 2 .

How do you find the diameter of a sphere if you know the volume?

The diameter of a sphere formula with volume is, d = (6V/π)^(1/3), where d is the diameter of the sphere and V is its volume. Alternatively, we can substitute the value of V, in the volume formula, V = (4/3) π r3, solve it for r, and make it double to find the diameter.

How do you find the volume of a sphere given the circumference?

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 relation between surface area and volume of a sphere?

So for a sphere, the ratio of surface area to volume is given by: S/V = 3/R.

What is the ratio of surface area of sphere and volume of sphere?

The ratio of the volume and surface area of a sphere is 1:3.

How do you find volume with diameter?

FAQs on Diameter of a Sphere Formula Using Volume The volume of a sphere (V) in terms of its radius (r) is V = (4/3) π r3. If d is its diameter, we have d = 2r. From this, we get r = (d/2). Substituting this in the volume formula, the volume of a sphere in terms of diameter is V = (πd3)/6.

Is there a formula to calculate the volume of a sphere?

Write down the equation for calculating the volume of a sphere. This is the equation: V = ⁴⁄₃πr³.

Find the radius. If you’re given the radius,then you can move on to the next step.

Cube the radius. To cube the radius,simply multiply it by itself thrice,or raise it to the third power.

Multiply the cubed radius by 4/3.

Multiply the equation by π.

What is the formula to calculate the volume of sphere?

Just enter the value of the radius and hit the calculate button. Recall that the formula to get the volume of a sphere is V = (4/3) × pi × r3. with pi = 3.141592653589793. Therefore, the volume depends on the size of r. So,enter r and hit the calculate button to get the volume.

What are the units for the volume of a sphere?

The volume of a sphere is measured in cubic units. The volume of the sphere is defined as: V = 4/3 × π × r3 = π × d3/6.

How do you find the radius of a sphere given the surface area?

Find the radius from the surface area. Use the formula r = √(A/(4π)). The surface area of a sphere is derived from the equation A = 4πr2. Solving for the r variable yields √(A/(4π)) = r, meaning that the radius of a sphere is equal to the square root of the surface area divided by 4π.