Please help I'm begging

Mathematics

1 answer:

Elina [12.6K]2 years ago

6 0

The figure is made up of a cone and a cylinder.

Diameter = 16 ft
radius = 16÷2 = 8ft

Volume of the cone = 1/3bh
Volume of the cone = $\frac{1}{3} \pi r^{2} h$
Volume of the cone = $\frac{1}{3} \pi 8^{2}(6)$ = 402.12

Volume of the cyclinder = bh
Volume of the cylinder = $\ \pi r^{2} h$
Volume of the cylinder = $\ \pi 8^{2}(4)$ = 1206.37

Total = 402.12 + 1206.37 = 1608.49 cubic feet

You might be interested in

A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find

Veseljchak [2.6K]

Answer:

Approximately $68.5\; \rm mm$ .

Step-by-step explanation:

Convert the angle of this sector to radians:

$\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}$ .

The formula $s = r\, \theta$ relates the arc length $s$ of a sector of angle $\theta$ (in radians) to the radius $r$ of this sector.

In this question, it is given that the arc length of this sector is $s = 36\; \rm mm$ . It was found that $\theta = 2.22$ radians. Rearrange the equation $s = r\, \theta$ to find the radius $r$ of this sector: