![Volume\,\,of\,\,cone=1527.1\,\,cm^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D1527.1%5C%2C%5C%2Ccm%5E3)
So, Option C is correct.
Step-by-step explanation:
We need to find Volume of cone.
We are given:
π = 3.14
Length = 27 cm
Diameter = 15 cm
The formula used to find Volume of cone is:
![Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%20r%5E2h)
We are given diameter but we need radius in the formula
So, Radius = Diameter/2 = 15/2 = 7.5 cm
We need to find height of cone.
Using Pythagoras theorem:
![h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93](https://tex.z-dn.net/?f=h%5E2%3Dp%5E2%2Bb%5E2%5C%5C%20%2827%29%5E2%3Dp%5E2%2B%287.5%29%5E2%5C%5C729%3Dp%5E2%2B56.25%5C%5Cp%5E2%3D729-56.25%5C%5Cp%5E2%3D672.75%5C%5CTaking%5C%2C%5C%2Csquare%5C%2C%5C%2Croot%3A%5C%5Cp%3D25.93)
So, Height of cone = p= 25.93
So, r= 7.5 and h= 25.93 and π = 3.14
Putting values in the formula:
![Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D%5Cfrac%7B1%7D%7B3%7D3.14%2A%287.5%29%5E2%2A25.93)
![Volume\,\,of\,\,cone=1526.62](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D1526.62)
Rounding off to the nearest tenth:
![Volume\,\,of\,\,cone=1527.1\,\,cm^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D1527.1%5C%2C%5C%2Ccm%5E3)
So, Option C is correct.
Keywords: Volume of cone.
Learn more about Volume of cone at:
#learnwithBrainly
So lets start out this problem with the initial amount of money jesse has:
$36.50 x (2 (times a month)) x (3 months) = $219
Then, you take 1/4 of his money (which can be converted to the decimal 0.25) and you subtract it from $219
$219 - ($219 x 0.25)
$219 - $54.75 = $164.25
Next, you have to subtract Jesse's lunch ($14.25) from the money he has left after purchasing his tow rope and bathing suit.
$164.25 - $14.25 = $150
Jesse's wake board cost him $150.
-3x+4=-17
subtract -4 from both sides
divide -3 from both sides
the answer is 7
Answer:
3/4 pounds
Step-by-step explanation:
Given the weights :
weight of beans 1/4 pound, 1/2 pound, 3/4. pound and 1 pound.
Greatest weight = 1 pound
Least weight = 1/4 pound
Difference = greatest weight - Least weight
Difference = (1 - 1/4) pound
Difference in weight = 3/4 pounds