The surface area of a solid sphere is 1256cm^2. it is cut into two hemispheres. find the total surface area and the volume of the hemisphere(take pi=3.14)
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Surface area of sphere = 4×pi×r^2
4 × 3.14 × r^2 = 1256
3.14×r^2 = 314
r^2 = 100
r = 10cm
Hence radius of the sphere is 10cm
Surface area of a hemisphere = 3×pi×r^2
But we have two hemispheres, so required area is 2×3×pi×r^2 = 6×pi×r^2
6×pi×r^2
= 6 × 3.14 × 100
= 6 × 314
= 1884 cm^2
Volume of hemisphere = 2/3 × pi × r^3
= 2/3 × 3.14 × 1000
= 2/3 × 3140
= 6280/3
= 2093.33 cm^3
4 × 3.14 × r^2 = 1256
3.14×r^2 = 314
r^2 = 100
r = 10cm
Hence radius of the sphere is 10cm
Surface area of a hemisphere = 3×pi×r^2
But we have two hemispheres, so required area is 2×3×pi×r^2 = 6×pi×r^2
6×pi×r^2
= 6 × 3.14 × 100
= 6 × 314
= 1884 cm^2
Volume of hemisphere = 2/3 × pi × r^3
= 2/3 × 3.14 × 1000
= 2/3 × 3140
= 6280/3
= 2093.33 cm^3
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Answer:
A/Q its is given that sphere is cut into two hemisphere, So we will take out the T.S.A and volume of one hemisphere only by applying the formulas of hemisphere
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