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University of North Texas

# Volume of a bowla. A hemispherical bowl of radius $a$ contains water to a depth $h .$ Find the volume of water in the bowl.b. Related rates Water runs into a sunken concrete hemispherical bowl of radius 5 $\mathrm{m}$ at the rate of 0.2 $\mathrm{m}^{3} / \mathrm{sec} .$ How fast is the water level in the bowl rising when the water is 4 $\mathrm{m}$ deep?

## a) $\frac{\pi h^{2}(3 a-h)}{3}$b) $\frac{1}{120 \pi} \mathrm{m} / \mathrm{s}$

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University of North Texas

#### Topics

Applications of Integration

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp