How many cubic yards in 4" x 2500sq ft?

1 answer:

hjlf3 years ago

6 0

4" x 2500 ft², namely 4 ft x 2500 ft², will just be 4*2500*ft*ft², or 10000 ft³.

$\bf \begin{array}{ll}
yd&3ft\\\\
(yd)^2&(3ft)^2\\
&(3^2ft^2)\\
&9ft^2\\\\
(yd)^3&(3ft)^3\\
&(3^3ft^3)\\
&27ft^3
\end{array}$

since there are 27 ft³ in 1 yd³, then how many yd³ are there in 10000 ft³?

10000/27, that many yd³.

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The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone : $V=\pi r^{2} \frac{h}{3}$ = $3.14 \times 9^{2} \times \frac{14}{3}$ = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).