English: The wind blew ………………….., and all ships made for the harbor

The wind blew ………………….., and all ships made for

nardosem9

11.01.2022

1. cone

radius, height = 2, 10

volume = 13.33

2. hemisphere

radius= 14

volume = 1829.33

Step-by-step explanation:

The region described has a radius r=2−y/5, therefore, the volume is a cone

radius, height = 2, 10

volume =

$\int\limits^{10}_0 {\pi ( 2-\frac{y}{5} )^2} \, dy \\=$

= 13.33

2. The region ∫14 0 π(196 - h^2) dh has a radius 196 - h^2, so the volume is a hemisphere

radius = 14

volume

= $\int\limits^{14}_0 {\pi (196 - h^{2} )} \, dh$

= $\pi (196h- \frac{h^3}{3}) |^{14}_0$

=1829.33

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