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Surface area of a sphere: 4*pi*r^2

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Which expression gives the surface area oh a sphere with radius r?

The surface area ( A ) of a sphere with radius ( r ) is given by the expression ( A = 4\pi r^2 ). This formula calculates the total area that covers the surface of the sphere. The constant ( \pi ) (pi) is approximately 3.14159, and it represents the ratio of the circumference of a circle to its diameter.


What is the surface area of a sphere with a circumference of 41 inches?

Diameter: 41/pi = 13 inches rounded to a whole number Radius: 13/2 = 6.5 inches Surface area of the sphere: 4*pi*6.5 squared = 530.929 square inches to three decimal places


Which expresion gives the volume of a sphere with radius 7?

4/3 pie(7exponent3)


What is the surface area of a sphere with volume of 140cm?

Volume: 4/3*pi*radius3 = 140 By making the radius the subject of the above gives it a value of 3.221166265 cm Surface area: 4*pi*3.2211662652 = 130.387557 square cm


What is the surface area of a sphere when its volume is 288pi cubic cm showing work?

To find the surface area of a sphere when its volume is 288π cubic cm, we first need to find the radius of the sphere. The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius. Given that the volume is 288π, we can solve for r: 288π = (4/3)πr^3. Solving for r, we get r = 6 cm. Next, we can find the surface area of the sphere using the formula A = 4πr^2, where r is the radius. Plugging in the radius of 6 cm, we get A = 4π(6)^2 = 144π square cm. Therefore, the surface area of the sphere is 144π square cm.

Related Questions

Which expression gives the surface area of a sphere with a radius r?

Area = 4*pi*r^2


Which expression gives the volume of a sphere with radius 7?

V = 4/3(PI*73) ≅ 1,436.76 units3


Which expression gives the volume of a sphere with radius 17?

(4/3) x (pi) x (17)3


What expression gives the volume of a sphere with radius 16?

4/3*Pi*163 = 17,157.28 cubic units


Which expression gives the volume of a sphere with a radius 16?

V = 4/3(Pi*r3): A sphere with a radius of 16 units has a volume of ≅17,157.28 cubic units.


Given a sphere with radius r the formula 4r2 gives?

If you mean 4*pi*r^2 then it is the formula for finding the surface area of a sphere


What the surface are of a sphere with volume of 900in3?

Volume = 4/3*pi*radius3 = 900 cubic inches By making the radius the subject of the above equation gives the sphere a radius of 5.989418137 inches. Surface area = 4*pi*5.9894181372 = 450.7950449 square inches


Which expression gives the volume of a sphere with radius 15?

Volume in cubic units = 4/3*pi*153


What is the surface area of a sphere with a circumference of 41 inches?

Diameter: 41/pi = 13 inches rounded to a whole number Radius: 13/2 = 6.5 inches Surface area of the sphere: 4*pi*6.5 squared = 530.929 square inches to three decimal places


What is the surface area of a sphere with diameter 18 CM?

Oh, dude, you just need to find the radius first, which is half of the diameter, so that's 9 cm. Then you use the formula for the surface area of a sphere, which is 4πr^2. Plug in 9 for r, square it, multiply by 4, and then multiply by π. That gives you a surface area of 1017π square cm, or about 3190 square cm. Easy peasy!


What is the radius of a sphere when the surface area is 803.84?

Surface area: 4*pi*radius2 = 803.84 Making the radius the subject of the above gives it a value of 7.9979719132 or about 8 units in length. Check: 4*pi*7.99797191322 = 803.84 square units


What is the volume of a sphere that has a surface area of 49pi square cm?

Well, darling, the surface area of a sphere is given by the formula 4πr², where r is the radius. So, if the surface area is 49π, then the radius squared is 49, making the radius 7 cm. Now, the volume of a sphere is (4/3)πr³, so plugging in a radius of 7 cm gives a volume of 179π cubic cm. Voilà!