wax cylinder of diameter 21 centimetre and height 21 cm is chipped off and shape to form a cone of maximum volume the chipped of wax is recast into a solid sphere. find the diameter of the sphere
Answers
Answered by
3
Volume of cylinder = 22/7 x (21/2)² x 21 = 7276.5 cm³
Volume of cone = 1/3 x 22/7 x (21/2)² x 21 = 2425.5 cm³
remaining volume (Volume of sphere) = 7276.5 - 2425.5 = 4851 cm³
4/3 x 22/7 x r³ = 4851
r³ = 4851 x 3/4 x 7/22 = 1157 5/8 cm
r = ∛1157 5/8 = 10.5 cm
Diameter of sphere = 10.5 x 2 = 21 cm
Volume of cone = 1/3 x 22/7 x (21/2)² x 21 = 2425.5 cm³
remaining volume (Volume of sphere) = 7276.5 - 2425.5 = 4851 cm³
4/3 x 22/7 x r³ = 4851
r³ = 4851 x 3/4 x 7/22 = 1157 5/8 cm
r = ∛1157 5/8 = 10.5 cm
Diameter of sphere = 10.5 x 2 = 21 cm
thakursiddharth:
Plz mark as brainliest
okk fine
Why have u reported
sorry it was by mistakenly reported
Similar questions