A bowl has a hemispherical shape with a diameter of 60 in. A heavy ball whose diameter is 20 in is placed in the bowl and water is poured into the bowl up toh inches deep. Use the concept of definite integrals to find the volume of the water in the bowl.

Q: Find

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A: solution:

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.