Answer:
3054
Step-by-step explanation:
The formula for cylinder volume is
V1 = π * r^2 *h
while formula for sphere volume is
V2= 4/3 * π * r^3
Since the height of the cylinder is 12, we can substitute h the equation into
V1 = π * r^2 *12
The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.
V1= V2
π * r^2 *12 = 4/3 * π * r^3
12 = 4/3 * r
r= 12*3/4
r=9
After we find the radius, we can find the sphere volume
V2= 4/3 * π * r^3
V2= 4/3 * π * 9^3
V2= 3053.62 = 3054
Answer:
701 revolutions
Step-by-step explanation:
Given: Length= 2.5 m
Radius= 1.5 m
Area covered by roller= 16500 m²
Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.
Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.
Formula; Lateral surface area of cylinder= 
Considering, π= 3.14
⇒ lateral surface area of cylinder= 
⇒ lateral surface area of cylinder= 
∴ Area covered by cylindrical roller in one revolution is 23.55 m²
Next finding total number of revolution to cover 16500 m² area.
Total number of revolution= 
Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.
15 I helped someone with this question already so I know its right