Daniel Graham
05/19/2023 · Junior High School
\( \begin{aligned} & \text { (with unrounded answer) } \\ V= & \pi r^{2} h \\ = & 3.1416 \times(0.80 \mathrm{~cm})^{2} \times 4.75 \mathrm{~cm}\end{aligned} \)
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Step-by-step Solution
Calculate or simplify the expression \( 3.1416 \times (0.80 \, \text{cm})^{2} \times 4.75 \, \text{cm} \).
Calculate the value by following steps:
- step0: Calculate:
\(3.1416\times 0.8^{2}\times 4.75\)
- step1: Convert the expressions:
\(3.1416\left(\frac{4}{5}\right)^{2}\times 4.75\)
- step2: Multiply the terms:
\(14.9226\left(\frac{4}{5}\right)^{2}\)
- step3: Convert the expressions:
\(\frac{74613}{5000}\left(\frac{4}{5}\right)^{2}\)
- step4: Multiply the numbers:
\(\frac{149226}{5^{6}}\)
- step5: Evaluate the power:
\(\frac{149226}{15625}\)
The volume \( V \) is approximately 9.550464 cubic centimeters.
Quick Answer
The volume is approximately 9.550464 cubic centimeters.
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