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A sphere with a diameter of 16 meters has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter how high is the cylinder?
Surface Area of Sphere = 4*Pi*r2 Surface Area of Cylinder = 2*Pi*r2+2*Pi*r*h If we set them as equal: 4*Pi*r2 = 2*Pi*r2+2*Pi*r*h ' Factor out 2*Pi*r 4*Pi*r2 = 2*Pi*r*(r+h) ' Divide both sides by 2*Pi*r 2*r=r+h ' Subtract r from both sides r=h Diameter = 2*r so h=d/2 In this case, d=16m h=8m
How do you find the circumference of a circle with just the radius?
The circumference of a circle is equal to the radius times 2*pi. 2*pi*R where R is the radius.
Q149 The perimeter of a circle and square are equal The ratio of their area is?
Equal perimeters:2 pi R = 4 spi R = 2 ss = pi R / 2Ratio of areas:pi R2 / s2 = (4 pi R2) / (pi2 R2) = 4 / pi= 1.2732 (rounded)The area of the circle is [ (4/pi) x (area of the square) ].
What is the area of a circle which has a radius equal to 3?
Using 3.14 as Pi the area of circle is: 28.259999999999998
If you only have circumference and height how can you find the volume of the cone?
The volume of a cone is equal to 1/3 pi*r2*h. C=2*pi*r, so r=C/(2*pi) and V=1/3*[C/(2*pi)]2*h
What does 2 pi r or 2 pi radius mean?
2 x Pi x r is equal to the circumference of a circle whose radius is equal to r.
Why is circumference equal to 2 times Pi times r?
circumference=pi circumference=pi circumference=pi
A sphere with a diameter of 16 meters has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter how high is the cylinder?
Surface Area of Sphere = 4*Pi*r2 Surface Area of Cylinder = 2*Pi*r2+2*Pi*r*h If we set them as equal: 4*Pi*r2 = 2*Pi*r2+2*Pi*r*h ' Factor out 2*Pi*r 4*Pi*r2 = 2*Pi*r*(r+h) ' Divide both sides by 2*Pi*r 2*r=r+h ' Subtract r from both sides r=h Diameter = 2*r so h=d/2 In this case, d=16m h=8m
How do you solve v equal pi r square h solve for h?
V = pi*(r^2)*h is the formula for the volume of a cylinder. In order to solve for 'h' (or the height), do the following:V = pi*(r^2)*h --> divide both sides of the equation by pi*(r^2) to get rid of pi*(r^2) on the right side of the equation.V/(pi*(r^2)) = (pi*(r^2)*h)/(pi*(r^2)) --> cancel out the common term (pi*(r^2)) in the right side of the equation.You are left with the original equation in terms of 'h':h = V/(pi*(r^2))
How do you find the circumference of a circle with just the radius?
The circumference of a circle is equal to the radius times 2*pi. 2*pi*R where R is the radius.
How do you find the radios from the area?
The are of a circle can be expressed by: A = (pi) r^2 So in order to find the radius from the are, you just have to solve this equation for "r". A/(pi) = r^2 (A/(pi))^(1/2) = r Or in words: The radius is equal to the square root of the quantity: area divided by pi.
How do you find the radius of a semi circle with an equal perimeter to a rectangle with 1 side 3cm and the other side equal to the radius?
Suppose the radius is R cm. Then the perimeter of the rectangle is 2*(3+R) = 6 + 2R cm. The length of the arc of the semicircle is pi*R and the length of the diameter is 2*R so the perimeter of the semicircle is pi*R + 2R The two perimeters are equal so 6 + 2r = pi*R + 2R That is, 6 = pi*R and so R = 6/pi
Q149 The perimeter of a circle and square are equal The ratio of their area is?
Equal perimeters:2 pi R = 4 spi R = 2 ss = pi R / 2Ratio of areas:pi R2 / s2 = (4 pi R2) / (pi2 R2) = 4 / pi= 1.2732 (rounded)The area of the circle is [ (4/pi) x (area of the square) ].
What is the formula using pi for the area of a circle?
area of a circle is equal to pi times the square of its radius.. A=(pi)r^2
What is the area of a circle which has a radius equal to 3?
Using 3.14 as Pi the area of circle is: 28.259999999999998
Surface area of a cylinder?
A cylinder of radius R and length L has a surface area equal to: Area = Area of 2 Circular Faces + Area of Tube = 2 * Pi * R2 + 2 * Pi * R * L Area = 2 * Pi * R * (R+L) where Pi = 3.14 (rounded) Another way to look at it is: 2 * Pi * R2 + Pi * d * h. H= height R= radius D= diameter 2= squared
What is the volume of cone?
The volume of a cone is equal to 1/3*(pi)*r^2*h. r=radius pi=3.14 h=height
