A solid wooden article is made by scooping out a hemisphere of radius 3.5 cm from each end of a cylinder of radius 3.5 cm and height 10 cm. Find the volume of the wood in the article (use π = 22/7, answer in cm^3 to two decimals).

Question

Accepted Answer

205.33. Cylinder = π r^2 h = (22/7)(12.25)(10) = 385.00. Two hemispheres = one sphere = (4/3)(22/7)(42.875) = (4/3)(134.75) = 179.67. Wood = 385.00 - 179.67 = 205.33 cm^3.

A solid wooden article is made by scooping out a hemisphere of radius 3.5 cm from each end of a cylinder of radius 3.5 cm and height 10 cm.
Find the volume of the wood in the article (use π = 22/7, answer in $cm^{3}$ to two decimals).

Step-by-Step Solution

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More Class 10 Volume of Combined Solids practice

A solid wooden article is made by scooping out a hemisphere of radius 3.5 cm from each end of a cylinder of radius 3.5 cm and height 10 cm.Find the volume of the wood in the article (use π = 22/7, answer in cm3 to two decimals).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Volume of Combined Solids practice

A solid wooden article is made by scooping out a hemisphere of radius 3.5 cm from each end of a cylinder of radius 3.5 cm and height 10 cm.
Find the volume of the wood in the article (use π = 22/7, answer in $cm^{3}$ to two decimals).