The answer is 12π.
To get the volume of the cone, we need the height. The radius is given.
V = πr² × (h/3)
The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height
24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5
Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4
Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
Answer:
Step-by-step explanation:
Algebraic equations include "variable" which are unknowns that you have to solve the equation to find out their value
This is the graph for the function
We notice that for x = 2 , or x = 4, the value of y=0 (x intercept),
replace x by any of the latter value in y=a(x-3)² -1
===> 0= a( 2-1)² - 1====>a=1
