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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 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!
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.
Which expression gives the volume of a sphere with radius 7?
V = 4/3(PI*73) ≅ 1,436.76 units3
What is the radius of a sphere if the volume is 523.6cm cubed?
4/3*pi*radius3 = 523.6 Making the radius the subject of the above gives it a value of 5.000003897 or about 5 cm
What is the volume of a sphere with a radius of 3.1?
The formula to calculate the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. Given a radius of 3.1, we substitute this value into the formula: V = (4/3)π(3.1)^3. Calculating this gives us V ≈ 127.6 cubic units.
Which formula gives the volume of a sphere with radius 5?
Volume = 4/3*pi*53 = 523.599 cubic units rounded to 3 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 expression gives the surface area of a sphere with the radius r?
Surface area of a sphere: 4*pi*r^2
What is the radius of a circle with a circumference of 1000m?
The radius of a circle with a circumference of 1000m is approximately 159.15 meters. This can be found using the formula C = 2πr, where C is the circumference and r is the radius. Rearranging the formula to solve for r gives r = C / (2π). Substituting the given circumference into the formula will give you the radius.
Which expresion gives the volume of a sphere with radius 7?
4/3 pie(7exponent3)
How many cu inches are in a 20 mm diameter ball?
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius. The radius of a 20 mm diameter ball is 10 mm (half of the diameter), which is 1 cm or 0.3937 inches. Plugging this into the formula gives V = (4/3)π(0.3937)^3 ≈ 0.209 cu inches.
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!
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.
A solid copper sphere of radius 3cm is melted and electric wire of diameter 0.4cm is made out of the copper obtained find the length of wire?
To find the length of the wire, we need to calculate the volume of the copper sphere first. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere. Substituting r = 3 cm, we find the volume of the sphere to be approximately 113.1 cm³. Next, we need to find the volume of the wire. Since the wire is cylindrical, its volume can be calculated using the formula V = πr²h, where r is the radius and h is the height (length) of the wire. Given the diameter of the wire is 0.4 cm, the radius is 0.2 cm. Assuming the wire is very long compared to its diameter, we can approximate the wire as a cylinder and find its length by dividing the volume of the sphere by the volume of the wire. This gives us the length of the wire as approximately 565.5 cm.
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
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.
