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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.
How do you find a radius of a circle and have the are and circumference be the same number?
To find a radius of a circle where the area and circumference are the same, you can use the formulas for area (A = \pi r^2) and circumference (C = 2\pi r). Set the two equations equal to each other: (\pi r^2 = 2\pi r). Simplifying gives (r^2 = 2r), which leads to (r(r - 2) = 0). Thus, the radius (r) can be (0) or (2), so the radius must be (2) for the area and circumference to be equal.
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
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.
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.
How do you find a radius of a circle and have the are and circumference be the same number?
To find a radius of a circle where the area and circumference are the same, you can use the formulas for area (A = \pi r^2) and circumference (C = 2\pi r). Set the two equations equal to each other: (\pi r^2 = 2\pi r). Simplifying gives (r^2 = 2r), which leads to (r(r - 2) = 0). Thus, the radius (r) can be (0) or (2), so the radius must be (2) for the area and circumference to be equal.
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
What is the circumference if the dimater is 16?
Plug in PI(3.14...) R^2 where in this case R is equal to 8.
