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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
Which expression gives the volume of a sphere with radius 15?
Volume in cubic units = 4/3*pi*153
Which expression gives the surface area of a sphere with a radius r?
Area = 4*pi*r^2
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 expression gives the surface area of a sphere with the radius r?
Surface area of a sphere: 4*pi*r^2
What is the area of a 6.2 radius circle?
The area of a circle is given by the formula A = πr^2, where A represents the area and r represents the radius. Plugging in the given radius of 6.2 into the formula, we have A = π(6.2)^2. Evaluating this expression gives an area of approximately 120.79 square units.
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.
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.
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.
The height of a cylinder is 10 inches and the volume is 146 cubic inches - what is the radius of this cylinder?
Using the formula for the volume of a cylinder (V = πr^2h), and substituting the given values, we can find the radius. Rearranging the formula to solve for the radius gives us r = √(V / (πh)). Plugging in the values, we get the radius as √(146 / (10π)) ≈ 2.15 inches.
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
