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 2021-07-03
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 the clay into a ball, what would its diameter be?

Answers (1)

2021-07-04

\(\displaystyle{V}=\frac{{4}}{{3}}π{r}^{{3}}\)
\(\displaystyle{120}=\frac{{4}}{{3}}π{r}^{{3}}\)
\(\displaystyle{120}\cdot\frac{{3}}{{4}}π={r}^{{3}}\)
\(\frac{90}{\pi}=r^3\)

\(3\sqrt{\frac{90}{\pi}}=3\sqrt{r^3}\)

\(3.06 \sim r^3\)

\(d=2r=2(3.06)=6.12 ~ 6.1\)

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