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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.
Why is the volume of a sphere divided by 3?
( The volume of a sphere is (4/3)(pi)r3 ). The short answer: because of calculus. The long answer: This can be seen by using calculus to derive the volume of a sphere from the formula from it's surface area. To do this, we imagine that the sphere is full of infinity thin spheres inside it (all centered at the big sphere's center), and add up the surface areas of all the spheres inside. The formula for the surface area of a sphere is 4(pi)r2. Let's call R the radius of the big sphere we want to find the volume of. To find the volume of this sphere, we add up the surface areas of all the spheres whose radii range from 0 to R. This gives the following formula (where r is the radius of each little sphere): 0R∫ 4(pi)r2dr The 4 and pi can be factored out giving: 4(pi) (0R∫r2dr) Integrating gives: 4(pi) [r3/3]0R This is where the three comes from. Finishing the evaluation of the integral gives: 4(pi)(R3/3 - 03/3) = 4(pi)(R3/3) Which can be rewritten as (4/3)pi(R3) which is the formula for the volume of a sphere.
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 17?
(4/3) x (pi) x (17)3
Which expression gives the volume of a sphere with radius 7?
V = 4/3(PI*73) ≅ 1,436.76 units3
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!
