Please help me with this!!!
1 answer:
Answer:
314 m³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V = πr²h
where r is the radius and h the perpendicular height
To find h use the right triangle from the vertex to the midpoint of the base and the radius.
Using Pythagoras' identity on the right triangle
where the slant height is the hypotenuse, then
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h = = 12, hence
V = π × 5² × 12
= π × 25 × 4 = 100π ≈ 314 m³
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Both 25x and 22x + 9 have the same answers. So you set those two equal to each other.
Subtract 22x from both sides.
and you're left with this.
Next, divide 3 from both sides.
re-insert 3 into one of the equations.
add up both angles
all angles (for quadrilaterals)added up equals 360.
solve for x. Subtract 150 from both sides.
and divide 2 from both sides
AngleLMN= 105
Subtract 22x from both sides.
and you're left with this.
Next, divide 3 from both sides.
re-insert 3 into one of the equations.
add up both angles
all angles (for quadrilaterals)added up equals 360.
solve for x. Subtract 150 from both sides.
and divide 2 from both sides
AngleLMN= 105