Answer:
V = 118 in³
Step-by-step explanation:
The volume of a cone of radius r and height h is V = (1/3)(π)(r^2)(h).
In this case, the volume is V = (1/3)π(3 in)^2·(6 in), or π(18 in³)
Using 3.14 as the approximate value of π, we get V = 118 in³
Step-by-step explanation:
Volume of cylindrical container
![= \pi {r}^{2} h \\ \\ = 3.14 \times ( {3.25)}^{2} \times 10 \\ \\ = 3.14 \times 10.5625 \times 10 \\ \\ = 331.6625 {cm}^{3} \\ \\ \approx \: 331.66 \: {cm}^{3}](https://tex.z-dn.net/?f=%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h%20%5C%5C%20%20%5C%5C%20%20%3D%203.14%20%5Ctimes%20%28%20%7B3.25%29%7D%5E%7B2%7D%20%20%5Ctimes%2010%20%5C%5C%20%20%5C%5C%20%20%3D%203.14%20%5Ctimes%2010.5625%20%5Ctimes%2010%20%5C%5C%20%20%5C%5C%20%20%3D%20331.6625%20%20%7Bcm%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Capprox%20%5C%3A%20331.66%20%5C%3A%20%20%7Bcm%7D%5E%7B3%7D%20)
Answer:
C.
Step-by-step explanation:
<D and <A are vertical angles.
Vertical angles are congruent.
Congruent means the same or equal.
Answer:
x = 4.
Step-by-step explanation:
log(x + 6)- log(x - 3) = 1
Using the law log a - log b = log a/b:
log (x + 6)/ (x - 3) = 1
Removing logs:
(x + 6)/ (x - 3) = 10
x+ 6 = 10x - 30
9x = 36
x = 4 (answer).