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$What is the height (h) ? 60 ×3.14 Write your answer as a whole number, simplified fraction, or exact decimal. V=(1)/(3)× pi × R × R × h {:[188.6=(1)/(3)×3.14 ×36 × h],[(1.88.4)/(37.68)=(37.68)/(37.68)h]:} Answer: h=5 2 The volume of this cone is 156 pim^(3). What is the height (h) ? Write your answer as a whole number, simplified fraction, or exact decimal. Answer:$

What is the height $(h)$ ? $\newline$ $60 \times 3.14$ $\newline$ Write your answer as a whole number, simplified fraction, or exact decimal. $\newline$ $V=\frac{1}{3} \times \pi \times R \times R \times h$ $\newline$ $\begin{array}{l} 188.6=\frac{1}{3} \times 3.14 \times 36 \times h \\ \frac{1.88 .4}{37.68}=\frac{37.68}{37.68} h \end{array}$ $\newline$ Answer: $\newline$ $h=5$ $\newline$ $2$ $\newline$ The volume of this cone is $156 \pi \mathrm{m}^{3}$ . $\newline$ What is the height $(h)$ ? $\newline$ Write your answer as a whole number, simplified fraction, or exact decimal. $\newline$ Answer:

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. What is the height

(h)

?

\newline

60 \times 3.14

\newline

Write your answer as a whole number, simplified fraction, or exact decimal.

\newline

V=\frac{1}{3} \times \pi \times R \times R \times h

\newline

\begin{array}{l} 188.6=\frac{1}{3} \times 3.14 \times 36 \times h \\ \frac{1.88 .4}{37.68}=\frac{37.68}{37.68} h \end{array}

\newline

Answer:

\newline

h=5

\newline

2

\newline

The volume of this cone is

156 \pi \mathrm{m}^{3}

.

\newline

What is the height

(h)

?

\newline

Write your answer as a whole number, simplified fraction, or exact decimal.

\newline

Answer:

Identify Formula and Values: Identify the formula and known values. $\newline$ We know the volume $V$ of the cone is $188.6$ cubic units, the radius $R$ is $6$ units, and $\pi$ (pi) is approximately $3.14$ . We need to find the height $h$ .
Substitute Known Values: Substitute the known values into the volume formula of the cone. $\newline$ $V = \frac{1}{3} \times \pi \times R^2 \times h$ $\newline$ $188.6 = \frac{1}{3} \times 3.14 \times 6^2 \times h$
Calculate R $²$ : Calculate the value of R $²$ . $R² = 6 \times 6 = 36$
Solve for h: Substitute $R^2$ back into the equation and solve for $h$ . $\newline$ $188.6 = \left(\frac{1}{3}\right) \times 3.14 \times 36 \times h$ $\newline$ $188.6 = 37.68 \times h$
Isolate and Calculate h: Isolate h by dividing both sides of the equation by $37.68$ . $\newline$ $h = \frac{188.6}{37.68}$ $\newline$ $h = 5.01$

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