Q&A for How to Find the Surface Area of a Sphere

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How do I find the volume of a sphere?

Donagan

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Volume = (4/3) π r³.

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What is the circumference of a sphere?

Donagan

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Pi multiplied by the diameter.

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How do I find the area of half a sphere?

Donagan

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Divide total area by 2.

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How do I find the surface area of the smallest cube containing the sphere?

Donagan

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The diameter of the sphere would equal the length of any edge of the cube, and the surface area of the cube would be the edge squared and multiplied by six.

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How do I find the volume of a third of a sphere?

Donagan

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Calculate the volume of the full sphere, then divide by three.

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What is the surface area of a closed cone?

Donagan

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It's the lateral surface area (πrl) plus the area of the circular base (πr²), where r is the radius and l is the slant height.

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What's the surface area of a sphere if the radius is 16cm?

Community Answer

SA (surface area) = 4(pi)(r^2) = 4(3.1415...)(16cm)^2 = 4(3.1415...)(256cm^2) = 3216.99 (2d.p.)

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How do I determine the suface area of a ball that is 5 feet in diameter?

Community Answer

The equation for calculating surface area is A = 4 * π * r^2 Substitute the values in; A = 4 * 3.14149 * 2.5^2 A = 78.539 ft^2 Note: 2.5 is used as radius, r, is D / 2 = 5 / 2 = 2.5

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Is surface area and area of a sphere differ in calculating?

Donagan

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There's really no such thing as "area of a sphere." There is "cross-sectional area," whose formula is πr².

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What is the formula for finding the surface area of a sphere when given the volume of a sphere?

Donagan

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The surface area is three times the volume, divided by the radius.

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A spherical ball is divided into 2 equal halves. If curved surface area of each half is 56.57, how do I find the volume of the spherical ball?

Donagan

Top Answerer

Double that number to get the full area. Set that equal to the area formula given above, and solve for the radius. Apply the radius to the volume formula: V = (4/3)(π r³).

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Question

What is the formula 4/3 pi r 3?

Donagan

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That's the formula for the volume of a sphere, where r is the radius, and pi is the constant 3.14159.

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How does one find the area of a sphere after cutting it into thirds?

Donagan

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The above formula still applies. If you want one-third of the total surface area, divide by three.

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Question

How can I find the surface area of sphere whose diameter is 'd'?

Community Answer

Substitute "d/2" for "r" in the surface area formula: A = 4πr² = 4π(d/2)² = 4π (d²/4) = πd². So you square "d" and multiply that by π.

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How did it go from 196 pi to 615.75 cm^2?

Donagan

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196π = (196)(3.14159) = 615.75.

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The surface area, S, of a sphere can be found using the formula S = 4r squared. If the surface area of a ball is approximately 76" square, what is the approximate radius, r, of this sphere?

Donagan

Top Answerer

The formula is S = 4πr². Substitute 76 for S, and solve for r: 76 = 4πr². 19 = πr². 19/π = 6.05 = r². √6.05 = 2.46 inches = r.

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What is the surface area of a sphere of diameter x+y units?

Donagan

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The radius is (x+y)/2. So the surface area is 4π[(x+y)/2]² = 4π[(x² + 2xy + y²) / 4].

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Is there a calculator for this with steps so I can check different numbers?

Donagan

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There are several, although not usually with steps. Do a web search for "sphere surface area calculator."

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Question

How do I find the surface area of a sphere if I am not given the radius, diameter, or volume?

Community Answer

You can’t because you have to always start somewhere and if no hints or numbers or formulae are given, you can’t solve any math problem. So no, you can’t.

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How do I find the surface area of a sphere if I don't know the diameter or radius?

Community Answer

If the question gives you the surface area already, then you can solve for the diameter or radius. But if you don't know the diameter/radius and are trying to find the surface area, then it's impossible.

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