A vessel is a cylinder of radius 7 cm and height 16 cm with a hemispherical bottom of the same radius (the hemisphere bulges outward below the cylinder). Find the total volume of the vessel (use π = 22/7, answer in cm^3 to two decimals).

Question

Accepted Answer

3182.67. Cylinder = π r^2 h = (22/7)(49)(16) = 22 x 7 x 16 = 2464.00. Hemisphere = 2/3 π r^3 = (2/3)(22/7)(343) = 2156/3 = 718.67. Total = 2464.00 + 718.67 = 3182.67 cm^3.

A vessel is a cylinder of radius 7 cm and height 16 cm with a hemispherical bottom of the same radius (the hemisphere bulges outward below the cylinder).
Find the total volume of the vessel (use π = 22/7, answer in $cm^{3}$ to two decimals).

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More Class 10 Volume of Combined Solids practice

A vessel is a cylinder of radius 7 cm and height 16 cm with a hemispherical bottom of the same radius (the hemisphere bulges outward below the cylinder).Find the total volume of the vessel (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 vessel is a cylinder of radius 7 cm and height 16 cm with a hemispherical bottom of the same radius (the hemisphere bulges outward below the cylinder).
Find the total volume of the vessel (use π = 22/7, answer in $cm^{3}$ to two decimals).