What is the hight of a cylinderical box f radius 10 cm and total surface area 942cm square
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Soil is the thin layer of material covering the earth's surface and is formed from the weathering of rocks. It is made up mainly of mineral particles, organic materials, air, water and living organisms—all of which interact slowly yet constantly.
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Given :-
Radius of cylindrical box = 10 cm
Total Surface Area of cylindrical box = 942 cm²
To Find :-
• Height of the cylindrical box
Assumption:-
Let the height of the cylindrical box = h
Formula:-
T.S.A = 2πr (r + h)
Solution:-
As we know T.S.A = 942 cm²
So,
942 = 2πr (r + h)
Radius = 10 cm
⟹ 942 = 2 × 22/7 × 10 (10 + h)
⟹ 942 = 440/7 (10 + h)
⟹ 942 × 7 = 440 (10 + h)
⟹ 6594 = 440 (10 + h)
⟹ 6594/440 = (10 + h)
⟹ 3297/220 = (10 + h)
⟹ 3297/220 - 10/1 = h
⟹ 3297 - 2200/220 = h
⟹ 1097 / 220 = h
Height = 1097 / 220 cm
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