The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
<h3>Lateral surface area of a cone</h3>
The formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
- r = base radius
- l = slant height
Therefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: brainly.com/question/27170515
Answer:
<u>option (2) it is and isosceles triangle. </u>
Step-by-step explanation:
In circle L, points E and F lie on the circle such that E, F and L are not collinear
If LE, LF and EF are drawn
So, LE = EF = the radius of the circle L
So, LEF is an isosceles triangle.
The answer is option (2) it is and isosceles triangle.
Answer:
- cylinder — 90π in³
- pyramid — 37 1/3 in³
- cone — 12.5π in³
Step-by-step explanation:
The volume of a cylinder is given by ...
V = Bh . . . . . where B is the base area and h is the height
The volume of a pyramid or cone is given by ...
V = (1/3)Bh . . . . . where B is the base area and h is the height
The area of a square of side length s is ...
A = s²
The area of a circle of radius r is ...
A = πr²
___
Using these formulas, the volumes of these objects are ...
cylinder: (9π in²)(10 in) = 90π in³
square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³
cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid
Convert the percent to a decimal (0.055) Now multiply by the price
24.99 • 0.055 = 1.37
Answer:
y = 3/2x - 3
Step-by-step explanation:
Slope = 3/2
y-intercept = -3
y = mx + b
y = 3/2x - 3
