Answer:
37.68 ft^3
Step-by-step explanation:
The parameters used in describing a cone is radius and height
Hence
Radius= 3ft
Height = 2 ft
The volume of a cone is given as

substitute

Hence the volume is 37.68 ft^3
Add all the numbers in the ratio together to get 18 then divide 180 by 18 to equal 10. then times that by each individual number in the ratio. so the answer is 40:50:90
The Corrected Problem is :
2:x and 12:18 identify the value of x that makes each pair of ratios equivalent .
Solution:
If a pair of Ratios are equivalent then we can write

Volume of the cone is 117.5 π ft³
<u>Step-by-step explanation:</u>
Lateral area of the cone = πrs
s is the slant height = 15 ft
From the above formula, we can find the radius as, 5 ft.
Volume of the cone = π r² h/3
s = √ (5²+ h²)
Squaring on both sides, we will get,
s² = 15² = (5² + h²)
15² - 5² = h²
225 - 25 = 200 = h²
h = √200 = 14.1 ft
Volume = π × 5² × 14.1 / 3 = 117.5 π ft³