how to work out the surface area of half a sphere?
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Hi Nicholas, The surface area of a sphere of radius r is 4 π r2. Half of this is 2 π r2. If this is what is meant by the surface area of a hemisphere then 2 π r2 = 1062.
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To calculate the surface area, we start with a sphere, remove the area of the spherical caps, then add back in the area of the new (inverted) spherical caps. The differences are very small. The volume reduction from a smooth sphere is approximately 1.48%. The increase in surface area from the dimples is 0.324%.
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Therefore, the Surface Area of a Sphere with radius r equals 4πr2 . Example : Find the surface area of a sphere with radius 5 inches.
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Answer. If the radius of a sphere is doubled then the surface area will increase four times. Surface Area = 4*22/7*r*r.
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There are two ends so their combinded surface area is 2 π * r2. The surface area of the side is the circumference times the height or 2 π * r * h, where r is the radius and h is the height of the side.
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To calculate the surface area of a cylinder using a net, you need to figure out the area of the two circles and the area of the rectangle. First, to find the area of a circle, use the following formula. There are two circular bases in the cylinder, so multiply the area of the circle by two for the sum of the two areas.
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The formula for the lateral surface area of a sphere is the same as the formula for the surface area of a sphere, since it has no bases. Thus, the lateral surface area of a sphere is 4πr2, where r = radius. The formula for the lateral surface area of a cone is πrs, where r = radius and s = slant height.
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Each end is a circle so the surface area of each end is π * r2, where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r2. The surface area of the side is the circumference times the height or 2 π * r * h, where r is the radius and h is the height of the side.
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To calculate the surface area of a 3D composite object, find the outside surface area of each object and then add the surface areas together. It could also be broken into one on top and one on the bottom.
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Use the formula r = √(A/(4π)). The surface area of a sphere is derived from the equation A = 4πr2. Solving for the r variable yields √(A/(4π)) = r, meaning that the radius of a sphere is equal to the square root of the surface area divided by 4π.
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In the case of a sphere if the radius is tripled the surface becomes (3r)^2 or 9-fold. In other words the surface area will increase by 800%.
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['Volume = πr2h.', 'Top Surface Area = πr2', 'Bottom Surface Area = πr2', 'Total Surface Area. = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)']
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If you have a hemispherical object then it has a base which is a circle of radius r. The area of a circle of radius r is π r2 and thus if the hemisphere is meant to include the base then the surface area is 2 π r2 + π r2 = 3 π r2. Hence in this case 3 π r2 = 1062.
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Hence the total surface area of the hemisphere = 3(pi)R^2. A semicircle has a straight line equal to the diameter of the circle and a curved line. The straight line is of length 2R and the curved line (pi)R. Hence the total perimeter of the semicircle = 2R + (pi)R.
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The Hollow Hemisphere Formula listed here is used to calculate Volume and surface area of a Hollow Hemisphere. To calculate Surface Area, square the radius and multiply it with 2 and Pi. To calculate the volume, cube the radius and multiply it with 3 and Pi. Then divide the answer by 2.
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For the original sphere with a radius r, we can calculate the surface area: The surface area of the inflated sphere is 16 times the surface area of the original, so it does NOT quadruple.
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Surface area of a balloon. The volume of a sphere with radius r is 4/3*pi*r^3 and the surface area is 4*pi*r^2.