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What is the volume cylinder if its diameter is equals to its height?
volume of cylinder = pi r2 h so if h = d, h = 2r so v= pi r2 2r depends on the lengths now just fill in the equation
How do you write the polar equation r2 - 2r sin theta in rectangular form?
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What will be the volume of a cylinder that's dimensions are doubled?
The volume of a cylinder is:V1 = pi r2 hV2 = pi (2r)2 2h = pi 4r2 2h = 8pi r2 hV1/V2 = (pi r2 h)/(8 pi r2 h)V1/V2 = 1/8Thus, V2 is 8 times bigger than V1.
When a shaded circle is inside a square what fraction of the square is shaded?
It ultimately depends on the areas of the two shapes: Acircle = pi*r2 Asquare = l2 Fraction shaded = Acircle / Asquare = pi*r2/ l2 If the circle fills the square (e.g. l=2r) then the formula simplifies considerably: pi*r2/4r2 = pi/4
What happens to the area if the circumference of a circle is doubled?
Denote the original area by A, denote the new area by A', denote the original circumference by C, and denote the new circumference by C'. C=2*pi*r so C'=2C=2*pi*(2r). So doubling the circumference corresponds to doubling the radius. A=pi*r2. A'/A=pi*(2r)2/[pi*r2]=4. So doubling the radius quadruples the area.
What is r2 equals -2r plus 35?
r -31
What is the volume cylinder if its diameter is equals to its height?
volume of cylinder = pi r2 h so if h = d, h = 2r so v= pi r2 2r depends on the lengths now just fill in the equation
Can the area of a circle ever equal the circumference of a circle?
No, no it can't. Circumference = 2r*pi Area = pi*r2 For the area to equal the circumference pi*r2 = pi*2r so divide both sides by pi r2 = 2r so divide both sides by r r = 2 Note that circumference is in units and area is in units squared i.e. radius = 2m, area = 12.56637m2 Ciercumference = 12.56637 m
How do you get the surface area of a cylinder having the same base and height?
Surface area = 2*pi*r2 + 2*pi*r*h square units where r is the radius and h is the height. If height = diameter of the base, then h = 2r so that area = 2*pi*r2 + 2*pi*r*2r = 6*pi*r2
If the area of a circle and its circumference have the same numerical value what is the length of the radius?
Area = pi*r2 = 2*pi*r = circumference then r2 = 2r so that r = 2
How many radius squared areas does it take to fill up a circle?
About 3.14159 of them. (pi) The area of a circle is (pi)r2. The area of the square into which the circle can be inscribed is 4r2 or (2r x 2r).
What happens to the volume of a cylinder if the radius is doubled?
V = (pi)*R2*H if you double the radius then put 2R in place of R in the formula: V = (pi)*(2R)2*H V = 4pi*R2*H So the volume will increase 4 fold if you double the cylinder's radius.
What is the total area of a cylinder?
The volume of a cylinder is equal to Pi times the square of the radius times the height of the cylinder. Pi*r2*h. Pi*r2 is the area of the base of a cylinder. The surface area of a cylinder is 2*Pi*r2+Pi*2r*h. 2*Pi*r2 is the area of the base of the cylinder times two to account for both bases. Pi*2r*h is the circumference of the base times the height of the cylinder
What is the diameter of a circle with an area of 27 pi cm?
A = πr2 = 27π, so r = √27 d = 2r = 2√27
13 Find the diameter of a circle if the area is 346.36 square yards?
Area of circle (A) = Pi*r2 346.36 = Pi*r2 r2=346.36/Pi r=√(346.36/Pi) d=2r=2√(346.36/Pi) d ~= 21.000 yards
How do you write the polar equation r2 - 2r sin theta in rectangular form?
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What is the area of circle if the diameter is 16inches?
area = pi*r2 2r = d r = 8 inches area = pi*82 area = 64pi
