A juice glass is a cylinder of radius 3 cm and height 10 cm, but its base is a solid hemisphere of radius 3 cm bulging UP into the glass (an apparent-volume trick glass). How much juice does it actually hold? (use π = 22/7, answer in cm^3 to two decimals.)

Question

Accepted Answer

226.29. Full cylinder = π r^2 h = (22/7)(9)(10) = 1980/7 = 282.857. Hemisphere taking up space = 2/3 π r^3 = (2/3)(22/7)(27) = 1188/21 = 56.571. Juice = 282.857 - 56.571 = 226.286 approx 226.29 cm^3.

A juice glass is a cylinder of radius 3 cm and height 10 cm, but its base is a solid hemisphere of radius 3 cm bulging UP into the glass (an apparent-volume trick glass).
How much juice does it actually hold? (use π = 22/7, answer in $cm^{3}$ to two decimals.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Volume of Combined Solids practice

A juice glass is a cylinder of radius 3 cm and height 10 cm, but its base is a solid hemisphere of radius 3 cm bulging UP into the glass (an apparent-volume trick glass).How much juice does it actually hold? (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 juice glass is a cylinder of radius 3 cm and height 10 cm, but its base is a solid hemisphere of radius 3 cm bulging UP into the glass (an apparent-volume trick glass).
How much juice does it actually hold? (use π = 22/7, answer in $cm^{3}$ to two decimals.)