1.

Find the volime, curved surface area and the total surface area of a hemisphere of diameter 7 cm

Answer» Radius of the hemisphere, r = 3.5 cm
Volume of the hemisphere `= ((2)/(3) pi r^(3)) cm^(3)`
`= ((2)/(3) xx (22)/(7) xx (7)/(2) xx (7)/(2) xx (7)/(2)) cm^(3)`
`= (539)/(6)cm^(3) = 89.83 cm^(3)`
Curved surface area of the hemisphere `= (2pi r^(2)) cm^(2)`
`= (2 xx (22)/(7) xx (7)/(2) xx (7)/(2)) cm^(2) = 77 cm^(2)`
Total surface area of the hemisphere `= (3pir^(2)) cm^(2)`
`= (3 xx (22)/(7) xx (7)/(2) xx (7)/(2)) cm^(2) = (231)/(2) cm^(2) = 115.5 cm^(2)`


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