Answer:
66.6666666667
Step-by-step explanation:
answer is 66.6666666667
Answer:
true
Step-by-step explanation:
Answer:
D) 3456 m
Step-by-step explanation:
Diameter of the cone = 48 m
Hence radius of the cone = ![\[\frac{48}{2}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B48%7D%7B2%7D%5C%5D)
= 24 m
Height of the cone = 18 m
Volume of a cone is given as ![\[\frac{1}{3}*pi*radius^{2}*height\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2Aradius%5E%7B2%7D%2Aheight%5C%5D%0A)
= ![\[\frac{1}{3}*pi*24^{2}*18\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A24%5E%7B2%7D%2A18%5C%5D%0A)
= ![\[\frac{1}{3}*pi*10368\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A10368%5C%5D%0A)
= ![\[pi*3456\] ](https://tex.z-dn.net/?f=%5C%5Bpi%2A3456%5C%5D%0A)
Hence among the given options, option D is the correct one.
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
