(Solved): (1 point) Each of the following integrals represents the volume of either a hemisphere or a cone, a ...

(1 point) Each of the following integrals represents the volume of either a hemisphere or a cone, and the variable of integration measures a length. In each case, say which shape is represented and give the radius of the hemisphere or radius and height of the cone. Make a sketch of the region, showing the slice used to find the integral, labeling the variable and differential on your sketch. Then evaluate the integral to find the area. A. ${?}_0^{12}?\left(144?h^2\right)dh$ Which is the shape of the region being integrated? A. Cone B. Hemisphere radius $/$ radius and height $=$ (Enter the radius, or the radius and height separated by a comma, e.g., 4, 3) volume $=$ B. ${?}_0^{20}?(4?y/5{)}^{2}dy$ Which is the shape of the region being integrated? A. Cone B. Hemisphere radius $/$ radius and height $=$ (Enter the radius, or the radius and height separated by a comma, e.g., 4, 3) volume $=$