The radius is 32 because the height of the hemisphere (which is half of a sphere) is the same thing as the radius (which is half the length of the diameter); the radius is the distance from the center to any point on the edge or surface of the circle/sphere.
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Total surface area = (pi*32) + (2*pi*3*6) = (2*pi*32) = 63*pi square cm The height of the cylinder has to be 6 cm because the radius of the hemisphere is 3 cm which is also its height.
32 METER
Volume = pi*42*32 = 512pi cubic cm.
The volume of a cylinder is pi*(radius)^2*height. We are not given the radius here, but we know the circumference. Circumference is 2*pi*radius. So radius is equal to the circumference/(2*pi). We can then substitute this into the equation for volume to get: V=pi*(circumference/(2*pi))^2*height=(circumference)^2/(4*pi)*height._________________________________________________________________For your problem we have circumference=84 inches and height=32 inches. So:(84 inches)^2/(4*pi)*32 inches=7056 square inches/(4*pi)*32 inches=1764 square inches/pi*32 inches=56448 cubic inches/pi=17967.9564553 cubic inches which is about 17968 cubic inches.
radius = 32/(2*pi) inches