The volume of oblique cone =
Now radius is doubled is now it is 2r
And height is reduced to 2/3 of its original size that is 2/3 h
So plugging the values we get volume
New Volume = 
= 
It means the volume becomes 4 times
Answer: X = 20
Step-by-step explanation:
7x - 99 = 2x + 1 --Take 2x from both sides
-2x -2x
5x - 99 = 1 -- add 99 to both
+99 +99
5x = 100 --Divide by 5
÷5 ÷5
x = 20
Since we are already given the amount of jumps from the first trial, and how much it should be increased by on each succeeding trial, we can already solve for the amount of jumps from the first through tenth trials. Starting from 5 and adding 3 each time, we get: 5 8 (11) 14 17 20 23 26 29 32, with 11 being the third trial.
Having been provided 2 different sigma notations, which I assume are choices to the question, we can substitute the initial value to see if it does match the result of the 3rd trial which we obtained by manual adding.
Let us try it below:
Sigma notation 1:
10
<span> Σ (2i + 3)
</span>i = 3
@ i = 3
2(3) + 3
12
The first sigma notation does not have the same result, so we move on to the next.
10
<span> Σ (3i + 2)
</span><span>i = 3
</span>
When i = 3; <span>3(3) + 2 = 11. (OK)
</span>
Since the 3rd trial is a match, we test it with the other values for the 4th through 10th trials.
When i = 4; <span>3(4) + 2 = 14. (OK)
</span>When i = 5; <span>3(5) + 2 = 17. (OK)
</span>When i = 6; <span>3(6) + 2 = 20. (OK)
</span>When i = 7; 3(7) + 2 = 23. (OK)
When i = 8; <span>3(8) + 2 = 26. (OK)
</span>When i = 9; <span>3(9) + 2 = 29. (OK)
</span>When i = 10; <span>3(10) + 2 = 32. (OK)
Adding the results from her 3rd through 10th trials: </span><span>11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 = 172.
</span>
Therefore, the total jumps she had made from her third to tenth trips is 172.
Answer: 16 quarts.
Step-by-step explanation:
1 quart = 1/4 gallon.
4 quarts = 1 gallon.
If you have 4 gallons, then you need to multiply 4 by 4, because every gallon is equal to 4 quarts.
4 x 4 = 16.
Therfore, there are 16 quarts in 4 gallons.
1) divide 26.32 by 8 = 3.29
2) 3.29 x 20= 65.80
3) he would spend 65.80 on 20 gallons of gas
