Answer:
Square root of 8, 10, and 15
Step-by-step explanation:
Answer:
do length divided by width times height
The correct option is D. 136.1 cubic inches.
Given, Radius of cone is 5.1 inches.
Height of cone is 5 inches.
We know that, volume of cone,
![V=\frac{1}{3} \pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E%7B2%7D%20h)
Here r is the radius of cone and h is its height.
on putting the value of r and h, we get
![V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes3.14%5Ctimes%285.1%29%5E%7B2%7D%20%5Ctimes5)
![V=\frac{1}{3} \times3.14\times26.01\times5](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes3.14%5Ctimes26.01%5Ctimes5)
Or,
.
The volume of cone to the nearest tenth is 136.1 cubic inches.
Hence the correct option is D. 136.1 cubic inches.
For more details on the volume of cone follow the link:
brainly.com/question/1578538
Answer:
<em>The porch is 7.35 feet off the ground</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ramp, the height of the porch, and the distance from the base of both form a right triangle where trigonometric ratios can be applied.
The angle of 20° has the height of the porch H as the opposite side, and the hypotenuse is the length of the ramp.
The sine is defined as:
![\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csin%5Ctheta%3D%5Cfrac%7B%5Ctext%7Bopposite%20leg%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D)
For our problem:
![\displaystyle \sin 20^\circ=\frac{H}{21.5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csin%2020%5E%5Ccirc%3D%5Cfrac%7BH%7D%7B21.5%7D)
Solving for H:
![H=21.5\cdot \sin 20^\circ](https://tex.z-dn.net/?f=H%3D21.5%5Ccdot%20%5Csin%2020%5E%5Ccirc)
Find the sine of 20° by using a calculator:
![H=21.5\cdot 0.342](https://tex.z-dn.net/?f=H%3D21.5%5Ccdot%200.342)
H=7.35 feet
The porch is 7.35 feet off the ground