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
ANSWERED
asked 2021-06-19
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?

Answers (1)

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.
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