0
You can work this out if you know that the area of a circle is equal to pi times the square of it's radius, and that the equation for a circle is x2 + y2 = r2. Using a little bit of calculus, we can merge those two equations and say:
V =R∫-Rπ ⋅ y(x)2 dx
∴V =R∫-Rπ ((R² - x²)1/2 )2 dx
We can then take that integral to get the volume:
V = πR∫-R(R² - x²) dx
V = πR∫-RR² dx-πR∫-Rx² dx
V = πR2R∫-Rdx-πR∫-Rx2 dx
V = πR2(x)R
-R
-π(x3
3
)R
-R
V = πR2((R-(-R))-π
3
(R3 -(-R3 ))
V = πR3 + πR3 - πR3 /3 - πR3 /3
V = (2 - 2/3)πR3
V =4
3
πR3
We are told that the radius, R is equal to 9 meters, so the volume is equal to 4/3π93, or 972π.
Of course, most of us are just given the equation V=4/3πr3 to start with, but where's the fun in that?
What else can I help you with?
What is the volume of sphere with 8m?
If 8m is its radius then the volume of the sphere is: 4/3*pi*8^3 = 2145 cubic m rounded
What unit of measure would be appropriate for the volume of a sphere with a radius of 2 meters?
Volume of the sphere: 4/3*pi*2^3 = 33.5 cubic meters to one decimal place
What is the surface area of a sphere whose radius is 7.5 m?
The formula to calculate the surface area of a sphere is 4πr^2, where r is the radius of the sphere. Plugging in the radius of 7.5 meters into the formula, we get 4π(7.5)^2 = 4π(56.25) = 225π square meters. Therefore, the surface area of a sphere with a radius of 7.5 meters is 225π square meters, or approximately 706.86 square meters.
What is the volume of a cone which is with is with radius of 7m and height of 15m?
Volume = 1/3*pi*72*15 = 245pi cubic m
What is the volume of a square pyramid with base edges 12 m and height 18 m?
AnswerFind the volume of a square pyramid with a height of 13 m and base edges of 9 m.
What is the volume of a sphere with radius of 2 m?
Volume of a sphere is 4/3 pi times the cube of its radius.
What is the volume of a sphere with a radius of 3 m?
113.1 cubic m
What is the volume of a sphere that has a radius of 7.1m?
Volume of the sphere: 4/3*pi*7.1^3 = 1499.214091 cubic m or about 1500 cubic m
What is the ratio of surface area to volume for a sphere with surface area and volume m?
If they have the same radius then it is: 3 to 2
What is the volume of sphere with 8m?
If 8m is its radius then the volume of the sphere is: 4/3*pi*8^3 = 2145 cubic m rounded
What is the volume of a cylinder with a height of 9 m and radius of 8 m?
The volume of a cylinder with a height of 9m and radius of 8m is 1809.56m3
A sphere fits snugly inside a cube with 2.4 m edges what is the approximate volume?
To find the volume of the sphere that fits snugly inside a cube with 2.4 m edges, we first determine the radius of the sphere, which is half the edge length of the cube. Thus, the radius ( r ) is 1.2 m. The volume ( V ) of a sphere is given by the formula ( V = \frac{4}{3} \pi r^3 ). Plugging in the radius, the volume is approximately ( \frac{4}{3} \pi (1.2)^3 \approx 7.24 , \text{m}^3 ).
How do you find that mass of a sphere?
To find the mass of a sphere, you can use the formula ( m = \rho V ), where ( m ) is mass, ( \rho ) is the density of the sphere's material, and ( V ) is the volume. The volume of a sphere is calculated using the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius of the sphere. Once you have the volume, multiply it by the density to obtain the mass.
What is the ratio of a surface area to volume for a sphere with following measurements surface area m and volume?
The ratio of surface area to volume for a sphere can be expressed using the formulas for surface area ( A = 4\pi r^2 ) and volume ( V = \frac{4}{3}\pi r^3 ). Therefore, the ratio ( \frac{A}{V} ) simplifies to ( \frac{3}{r} ). This means that the surface area to volume ratio decreases as the radius of the sphere increases. For a specific sphere with known surface area ( m ) and volume, you can calculate the ratio by finding the corresponding radius.
'What is the surface area of a sphere with a radius of 5 m?
The surface area of a sphere with a radius of 5m is 314.2m2
How many copper atoms does it contain The volume of a sphere is 43pieR3 and the density of copper is 8.96 gcm3 A pure copper sphere has a radius 0.936 in?
Use your volume formula and your radius to find volume. Next use the equation d=m/v or m=dv to find your mass of copper. Use your mass, atomic weight of copper, and avagadro's number to figure out your atoms.
What is the volume of a sphere with diameter 5.5 m?
The volume of a sphere with a diameter of 5.5m is about 87.1m3
