Answer:
<h2>lateral surface area= 109.97 in^2</h2>
Step-by-step explanation:
The lateral surface area of a cone is given by the expression
Given
diameter= 7 inches
radius= 7/2= 3.5 inches
slant height l= 10 inches
substituting the data into the formula we have
Answer:
x = 7
Step-by-step explanation:
from the properties of an isosceles triangle, 5x+6 = y-9
so
98+2(5x+6) = 180
98+10x+12 = 180
110+10x = 180
10x = 70
x = 7
Answer:
50 feet
Step-by-step explanation:
Given:
Vertical height of lift by escalator (h) = 25 ft
Angle of inclination of escalator (x) = 30°
Now, the person traveling along the escalator is equal to the length of the escalator from bottom to top.
Now, a triangle can be constructed using the above scenario.
Consider a right angled triangle ABC with:
AB → Vertical height of escalator = 25 ft
AC → Length of escalator = ?
Now, using trigonometric ratio for sine, we can find the length AC.
This gives,
Therefore, the distance of travel of a person from bottom to top of the escalator is 50 feet.
Answer:
the answer is C
Step-by-step explanation:
Answer:
The volume of the sphere is 32 π /3 cm^3
Step-by-step explanation:
Mathematically, the volume of a sphere can be calculated using the formula below;
V = 4/3 * pi * r^3
Now since we have the radius and diameter = 2 * radius
radius = diameter/2 = 4/2 = 2
Substituting this value into the volume equation;
V = 4/3 * pi * 2^3 = 32pi/3