Answer:
(b)
![V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}]](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5B%20%5Cfrac%7B%282r%29%5E2h%7D%7B3%7D%5D)
or 
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the volume of the cone
The volume of a square pyramid is:
Where
a = base dimension
From the attachment, the base dimension of the square pyramid is 2r.
So:
The volume becomes;
To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.
So, we have:
Open bracket;
Cancel out 4
The above can be written as:
So, we have:
or
Answer: 35.328 cubic inches.
Step-by-step explanation:
Volume of square pyramid = 
, where a = length of base , h = height
Given: For a square pyramid
a= 4.8 cm and h = 4.6
Then, Volume = 
Hence, the volume of a pyramid with a square base = 35.328 cubic inches.
Answer:
83 percent
Step-by-step explanation:
The z-value that corresponds to a two-tailed 95% confidence interval is z = +/- 1.96. Then the bounds of the confidence interval can be determined as:
Lower bound = mean - z*SD/sqrt(n) = 20 - 1.96*2/sqrt(100) = 20 - 0.12 = 19.88 hours
Upper bound = mean + z*SD/sqrt(n) = 20 + 1.96*2/sqrt(100) = 20 + 0.12 = 20.12 hours
So the first choice is the correct answer: 19.88-20.12 hours
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
