We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.
We know that height of sphere is equal to its radius. This means that 
.
Using , we will get:
Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is 
times volume of cylinder.
Therefore, the volume of the sphere would be 28 cubic meters.
Basically, you are looking for the ARC SINE of .994 which is
83.72 Degrees
You could also use an online calculator:
http://www.1728.org/trigcalc.htm
Answer:
A. Playfair's axiom.
Step-by-step explanation:
In a plane, given a line and a point not on it, at most, one line parallel to the given line can be drawn through the point.
- this implies Euclid's fifth postulate.
Answer:
The option B is the correct answer. 79.18 m²
Step-by-step explanation:
Surface area = Base area + Lateral surface area
Area of triangle = bh/2
b - base and h - height
<u>To find the base area</u>
We can consider the base is a hexagon.
A regular hexagon is a combination of 6 equilateral triangle
Base area = 6 * area of triangle
base b = 3
<u>To find the height</u>
h =√[(6.2)² - (5.6)₂] = 2.7
Area of triangle bh/2 = (3 * 2.7)/2 = 3.99
Area of base = 23.95
To find lateral surface area
Lateral surface area = 6 * area of triangle
Area of triangle = bh/2 =(3 *6.2)/2 = 9.3
Lateral surface area = 6 * 9.3 = 55.8
<u>To find the total surface area </u>
Total surface area = Base area + lateral surface area = 23.95 + 55.8
= 79.75 m²
Therefore the option B is the correct answer. 79.18 m²
