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A cylinder has a base radius of
5cm and a height of
16cm. What is its volume in cubic
cm, to the nearest tenths place?
Answer:
V=◻cm^(3)

A cylinder has a base radius of $5 \mathrm{~cm}$ and a height of $16 \mathrm{~cm}$ . What is its volume in cubic $\mathrm{cm}$ , to the nearest tenths place? $\newline$ Answer: $V=\square \mathrm{cm}^{3}$

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Find the rate of change of one variable when rate of change of other variable is given

Full solution

Q. A cylinder has a base radius of

5 \mathrm{~cm}

and a height of

16 \mathrm{~cm}

. What is its volume in cubic

\mathrm{cm}

, to the nearest tenths place?

\newline

Answer:

V=\square \mathrm{cm}^{3}

Formula Explanation: The formula to calculate the volume of a cylinder is $V = \pi r^2 h$ , where $r$ is the radius of the base and $h$ is the height of the cylinder.
Substitution Step: Substitute the given values into the formula: $r = 5 \, \text{cm}$ and $h = 16 \, \text{cm}$ . $\newline$ $V = \pi(5 \, \text{cm})^2(16 \, \text{cm})$
Volume Calculation: Calculate the volume using the substituted values: $\newline$ $V = \pi(25 \, \text{cm}^2)(16 \, \text{cm})$ $\newline$ $V = \pi(400 \, \text{cm}^3)$
Pi Calculation: Use the value of $\pi$ (approximately $3.14159$ ) to calculate the volume: $V \approx 3.14159 \times 400 \, \text{cm}^3$ $V \approx 1256.636 \, \text{cm}^3$
Rounding Step: Round the volume to the nearest tenth: $V \approx 1256.6\,\text{cm}^3$

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