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3 years ago

A pile of sand on the beach has the approximate shape of a cone with a diameter 28 in. and a height of 11.75 in.

Mathematics

2 answers:

DerKrebs [107]3 years ago

7 0

Answer:

A) Volume of the pile of sand is 2411.7 in³ .

Step-by-step explanation:

Given : A pile of sand on the beach has the approximate shape of a cone with a diameter 28 in. and a height of 11.75 in.

To find : volume of the pile of sand.

Solution : We have given that diameter of cone = 28 in.

height = 11.75 in.

Radius = $\frac{diameter}{2}$ .

Radius = 14 in.

Volume of cone = $\frac{pi(radius)^{2}*height }{3}$ .

Volume of cone = $\frac{3.14(14)^{2}*11.75 }{3}$ .

Volume of cone = 2410.47

Volume of cone ≈ 2411.7 in³.

Therefore, A) Volume of the pile of sand is 2411.7 in³ .

makvit [3.9K]3 years ago

6 0

Use the formula for volume of a cone.
V=pi × r2 × h /3
V= 2411.7 in.^3

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Step-by-step explanation:

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$X=\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

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Write all the coefficients in one matrix first which is called a coefficient matrix. Multiply coefficient matrix with the variables matrix and equate left and right side.

$\begin{bmatrix}\frac{dx}{dt}\\ \frac{dy}{dt}\\ \frac{dz}{dt}\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

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