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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.
