Question

Fred figured out the volume of the glass is 141.37cm. Show work

Answer 1

To solve this problem, we have to calculate the volume of a hemisphere and the volume of a cylinder and add them together. The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.

Volume of a Hemisphere

The volume of a hemisphere is given as

$v = \frac{2}{3} * \pi * r^3$

Data

• r = 3cm

Let's substitute the values into the equation and solve.

$v = \frac{2}{3} * \pi * r^3\\v = 56.556cm^3$

Volume of a Cylinder

The formula of volume of a cylinder is

$v = \pi r^2 h$

data given

• h = 3cm
• r = 3cm

Let's substitute the values into the equation and solve

$v = \pi r^2 h\\v = 3.142 * 3^2 * 3\\v = 84.834cm^3$

Let's add both volumes together so we have the volume of the glass cup

$56.556 + 84.834 = 141.39cm^3$

The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.

Learn more on volume of hemisphere, cylinder here;

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