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A sphere has a surface area of 18 square centimeters. What is the volume of a sphere?
9 √(2/pi) We start with the formulas for surface area (4 pi r^2) and volume (4/3 pi r^3). If 4 pi r^2 = 18, then r = 3/√(2 pi); plug that into the formula for volume and we get 9 √(2/pi) as the answer.
What is the volume of a cube with a side length of 6 meters and a hemisphere with diameter of 6 meters?
Cube: 216 m^3 Volume of cube=s^3 s=6 6^3=216 Hemisphere: 18pi m^3 ~ 56.5486678 m^3 sphere: (4/3)pi(r^3) hemisphere: ((4/3)pi(r^3))/2=(4/6)pi(r^2)=(2/3)pi(r^3) d=6 r=3 (2/3)pi(3^3)=(2/3)pi(27)=(54/3)pi=18pi
What is the volume of a sphere with diameter 3m?
~14.1372 V=(4/3)pi r^3 V=(4/3)pi (1.5)^3=(4/3)pi 3.375=4.5pi~14.1372
Is the circumference of a circle an irrational number?
Yes if the diameter is rational. But it need not be if the diameter is irrational. If the diameter is 3/pi units, for example, then the circumference will be (3/pi)*pi = 3 units.
What is the volume of a hemisphere and a cone?
Volume of Hemisphere = 2/3 * Pi * (radius)^3 Volume of Cone = 1/3 * Pi * (radius)^2 * height where Pi = 22/7 (approx)
what are the first 25 digits of pi not including the 3. at the start?
I know what it is
A sphere has a surface area of 18 square centimeters. What is the volume of a sphere?
9 √(2/pi) We start with the formulas for surface area (4 pi r^2) and volume (4/3 pi r^3). If 4 pi r^2 = 18, then r = 3/√(2 pi); plug that into the formula for volume and we get 9 √(2/pi) as the answer.
What is pi times 3 divided by 3?
9
What is the 80888840 place of PI?
The 80888840 the digit after the decimal place is a 5. If you start counting from the 3 (of 3.1415...) then it is a 3.
What is the cubic root of pi squared multiplied by pi?
[pi^(1/3)]^2 * pi = pi^(2/3) * pi = pi^(5/3) The answer is the cubic root of pi to the fifth power.
What is the volume of a hemisphere with a diameter of 6 meters?
18pi m^3 ~ 56.5486678 m^3 sphere: (4/3)pi(r^3) hemisphere: ((4/3)pi(r^3))/2=(4/6)pi(r^2)=(2/3)pi(r^3) d=6 r=3 (2/3)pi(3^3)=(2/3)pi(27)=(54/3)pi=18pi
What is pi plus pi plus pi?
(pi + pi + pi) = 3 pi = roughly 9.4248 (rounded) Well, if you use the common shortened version of pi which is 3.14 and add that 3 times, you get 9.42.
In what year did the English start using the symbol of pi for pi?
1706
What is the volume of a sphere with a radius of 2 without the pi?
Volume of a sphere = 4/3 pi R3V = (4/3) (pi) (2)3 = 8/3 pi = 8.3776(rounded)
3 plus pi equals pi plus 3?
Yes
Is the volume formula universal for all the figures?
No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3 No because, Sphere : (4 * pi * cube of the radius)/3 Hemisphere: (2 * pi * cube of the radius)/3 Cylinder: pi * (square of the base radius) * height Cone: (pi * square of base radius * height)/3
What is the exact value using a sum or difference formula of the expression cos 11pi over 12?
11pi/12 = pi - pi/12 cos(11pi/12) = cos(pi - pi/12) cos(a-b) = cos(a)cos(b)+sin(a)sin(b) cos(pi -pi/12) = cos(pi)cos(pi/12) + sin(pi)sin(pi/12) sin(pi)=0 cos(pi)=-1 Therefore, cos(pi -pi/12) = -cos(pi/12) pi/12=pi/3 -pi/4 cos(pi/12) = cos(pi/3 - pi/4) = cos(pi/3)cos(pi/4)+sin(pi/3) sin(pi/4) cos(pi/3)=1/2 sin(pi/3)=sqrt(3)/2 cos(pi/4)= sqrt(2)/2 sin(pi/4) = sqrt(2)/2 cos(pi/3)cos(pi/4)+sin(pi/3) sin(pi/4) = (1/2)(sqrt(2)/2 ) + (sqrt(3)/2)( sqrt(2)/2) = sqrt(2)/4 + sqrt(6) /4 = [sqrt(2)+sqrt(6)] /4 Therefore, cos(pi/12) = (sqrt(2)+sqrt(6))/4 -cos(pi/12) = -(sqrt(2)+sqrt(6))/4 cos(11pi/12) = -(sqrt(2)+sqrt(6))/4
