What is the volume of a cylinder, in cubic m, with a height of 12m and a base diameter of 4m ? Round to the nearest tenths place Answer: V=◻m^(3)

Calculate Radius: To find the volume of a cylinder, we use the formula V = πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder. First, we need to find the radius of the base. The radius is half of the diameter. Calculation: Radius (r) = Diameter / 2 = 4m / 2 = 2mSubstitute Values: Now that we have the radius, we can substitute the values into the volume formula. Calculation: V = π * (2m)^2 * 12mCalculate Volume: Next, we calculate the volume using the values we have. Calculation: V = π * 4m^2 * 12m = π * 48m^3Use Value of π: We need to use the value of π to get the numerical value of the volume. We will use the approximation π ≈ 3.1416 for this calculation. Calculation: V ≈ 3.1416 * 48m^3 ≈ 150.7968m^3Round the Result: Finally, we round the result to the nearest tenths place as the problem asks. Calculation: V ≈ 150.8m^3

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the volume of a cylinder, in cubic
m, with a height of
12m and a base diameter of
4m ? Round to the nearest tenths place
Answer:
V=◻m^(3)

What is the volume of a cylinder, in cubic $m$ , with a height of $12 \mathrm{~m}$ and a base diameter of $4 \mathrm{~m}$ ? Round to the nearest tenths place $\newline$ Answer: $V=\square \mathrm{m}^{3}$

View step-by-step help

Home

Math Problems

Grade 7

Convert between customary and metric systems

Full solution

Q. What is the volume of a cylinder, in cubic

m

, with a height of

12 \mathrm{~m}

and a base diameter of

4 \mathrm{~m}

? Round to the nearest tenths place

\newline

Answer:

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

Calculate Radius: To find the volume of a cylinder, we use the formula $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cylinder. First, we need to find the radius of the base. The radius is half of the diameter. $\newline$ Calculation: Radius ( $r$ ) = Diameter / $2$ = $4m$ / $2$ = $2m$
Substitute Values: Now that we have the radius, we can substitute the values into the volume formula. $\newline$ Calculation: $V = \pi \times (2\text{m})^2 \times 12\text{m}$
Calculate Volume: Next, we calculate the volume using the values we have. $\newline$ Calculation: $V = \pi \times 4m^2 \times 12m = \pi \times 48m^3$
Use Value of $\pi$ : We need to use the value of $\pi$ to get the numerical value of the volume. We will use the approximation $\pi \approx 3.1416$ for this calculation. $\newline$ Calculation: $V \approx 3.1416 \times 48m^3 \approx 150.7968m^3$
Round the Result: Finally, we round the result to the nearest tenths place as the problem asks. $\newline$ Calculation: $V \approx 150.8\,\text{m}^3$