Question

# Marilda has a block of modeling clay that is 8 inches by 5 inches by 3 inches. She is experimenting with different shapes that can be made from the cl

Modeling
Marilda has a block of modeling clay that is 8 inches by 5 inches by 3 inches. She is experimenting with different shapes that can be made from the clay. Give your answers to the nearest tenth. If she rolled a cylinder with a diameter of 3 inches, how long would it be?

2021-06-20
$$\displaystyle{V}=π{r}^{{2}}{h}$$
$$\displaystyle{120}=π{\left({1.5}\right)}^{{2}}{h}$$
$$\displaystyle\frac{{120}}{{π{\left({1.5}\right)}^{{2}}}}={h}$$
17.0 ~ h
From part a), the volume of the cube is $$\displaystyle{120}\in^{{3}}$$
Let the volume of the cylinder by $$\displaystyle{V}={120}\in^{{3}}$$
The diameter of the cylinder is d=3 inches so the radius is $$\displaystyle{r}=\frac{{d}}{{2}}=\frac{{3}}{{2}}={1.5}$$ inches. Substitute the volume and radius into the formula for the volume to evaluate and round to the nearest tenth.