find the radius of a hemisphere if its volume is 144πcm cube
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8
Hey !!
Let radius of hemisphere be R cm.
Volume of hemisphere = 2/3 πR³
144π = 2/3 πR³
144 = 2πR³/3π
144 = 2R³/3
2R³ = 144 × 3
2R³ = 432
R³ = 432/2
R³ = 216
R = ³√216
R = 6 cm.
Hence,
Radius of hemisphere = 6 cm.
Let radius of hemisphere be R cm.
Volume of hemisphere = 2/3 πR³
144π = 2/3 πR³
144 = 2πR³/3π
144 = 2R³/3
2R³ = 144 × 3
2R³ = 432
R³ = 432/2
R³ = 216
R = ³√216
R = 6 cm.
Hence,
Radius of hemisphere = 6 cm.
gayatri03:
thank you so much
Answered by
1
volume= 4/3*π*R^3
=4/3*π*R^3=144π
=R^3=144*3/4
=R^3=108
R=cube root of 108
=4.76cm
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