Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
Because BD is the angle bisector, and m∠ABC=40, m∠ABD is 20.
In case you'll need to find out x and y:
3x-1=34-2x, and 3y+6=5y-18
solve: 5x=35, x=7
2y=24, y=12
(m∠ABD=3x-1=3*7-1=20, again, the answer is in this case)
2^x = 5
-> log2^x = log5
-> xlog2 = log5
-> x = log5/log2
-> x = 2.322
The approximate answer is 2.322
Idk, I think it is zero. Sure you have this written right? It's kinda easy. Order of operations, my guy.
