surface area of a sphere of radius 30 cm is 6 times the area ofthe curved surface of the cone of radius is 24cm . find the value of cone
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Radius of the sphere = R = 30 cm
TSA of the sphere = 4 π R² = 4 * 22/7 * 30² = 88*900/7 cm²
height of the cone = h
base Radius of cone = r = 24 cm
curved edge/slanting height of the cone = s
CSA of the cone = π r s = 22/ 7 * 24 * s
Given 88*900/7 = 6 * 22/7 * 24 * s
SO s = 600/24 = 25 cm
height h = √(s² - r²) = 7 cm
TSA of the sphere = 4 π R² = 4 * 22/7 * 30² = 88*900/7 cm²
height of the cone = h
base Radius of cone = r = 24 cm
curved edge/slanting height of the cone = s
CSA of the cone = π r s = 22/ 7 * 24 * s
Given 88*900/7 = 6 * 22/7 * 24 * s
SO s = 600/24 = 25 cm
height h = √(s² - r²) = 7 cm
kvnmurty:
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Answer: 4224 cm^3 assuming you have asked for the volume of cone.
Step-by-step explanation:
According to above answer, continuing, volume of cone = 1/3(pi r^2 h)
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