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Furkat [3]
3 years ago
11

Find the volume of the cone.

Mathematics
1 answer:
frez [133]3 years ago
7 0

Find the volume of a cone with a diameter of 20m and a slant height of 26m.

Volume Formula of a Cone: V = pi(radius^2)(h/3)

Diameter: 20m

Slant Height (Height): 26m

Plug it in:

V = 3.14(10^2)(26/3)

V = 314(26/3)

Solve:

V = 314(0.87)

V = 273.18

Volume = 273.18

Round:

Volume = 273m^3

The volume of the cone is 273m^3 to the nearest whole number.

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EXPLANATION:

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We will have the following steps:

Step 1:

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Step2: Subtract the two equations:

\begin{gathered} y-y=-\frac{1}{2}x-(-\frac{7}{2}x)+3-(-3) \\ 0=-\frac{1}{2}x+\frac{7}{2}x+6 \\  \end{gathered}

Step 3: Simplify the expression

\begin{gathered} 0=3x+6 \\ 3x=-6 \\ x=-\frac{6}{3} \\ x=-2 \end{gathered}

Step 4: Substitute x=-2 into the formula:

\begin{gathered} y=-\frac{1}{2}x+3 \\ y=-\frac{1}{2}\times-2+3 \\ y=1+3 \\ y=4 \end{gathered}

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Answer:

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