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
1600m = 1600 ÷ 1000 = 1.6 km
Answer: 1.6 km
1.5 inches. You take 378 and divide it by 250
Answer:
Step-by-step explanation:
we know that
Is the equation of a vertical parabola written in vertex form
where
(h,k) is the vertex
a is the leading coefficient
In this problem we have
The vertex is the point (-1,4)
so
substitute
Find the value of a
we have the ordered pair (0,3)
substitute the value of x and the value of y in the quadratic equation and solve for a
therefore
Answer:
The slope of this line is -4
Step-by-step explanation:
To find the slope, you need to solve the equation for y.
4x + y = -9
y = -4x - 9
The slope in this form is always the coefficient of x, making it -4.
