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Dmitry [639]
3 years ago
13

A cylindrical jar's lid has a radius of 4 inches. If the volume is 351.68 in , approximately what is the height of the jar?

Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer:

7 inches

Step-by-step explanation:

The volume of a cylinder is calculated using

V = \pi {r}^{2}h

where r =4 inches is the radius and V=351.68 is the volume.

To find the height of the jar, we substitute these values and solve for h.

351.68 = 3.14 \times  {4}^{2}  \times h

351.68 = 50.24h

Divide both sides by 50.24 to get:

h =  \frac{351.68}{50.24}

h=7 inches

Therefore the height of the jar is 7 inches

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<u>Solution:</u>

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\begin{array}{l}{\text { Then, } \frac{4}{3} \times \text { slope of perpendicular line }=-1} \\\\ {\rightarrow \text { slope of perpendicular line }=-1 \times \frac{3}{4}=-\frac{3}{4}}\end{array}

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<em><u>The point slope form is given as:</u></em>

\begin{array}{l}{y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }} \\\\ {\text { Here in our problem, } m=-\frac{3}{4}, \text { and }\left(x_{1}, y_{1}\right)=(-2,4)} \\\\ {\text { Then, line equation } \rightarrow y-4=-\frac{3}{4}(x-(-2))}\end{array}

y-4=\frac{-3}{4}(x+2)

Hence the equation of line is found out

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3 years ago
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