Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:
Where, r is the radius of the hemisphere.
Volume of cylinder is:
Where, r is the radius of the cylinder and h is the height of the cylinder.
We know that,
[Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.
Volume of cone is:
Where, r is the radius of the cone and h is the height of the cone.
Now, the volume of the combined figure is:
Therefore, the volume of the given figure is 2110.08 cubic units.
V(p) = x-n, where V(p) is the volume after the boxes have been together, x is the volume of the larger box, and n is the volume of the smaller box.
x = 15 cm x 25 cm x 20 cm = 7500 cubic centimeters (cm^3)
n = 10 cm x 10 cm x 10 cm = 1000 cm^3
V(p) = 7500 - 1000 = 6500 cm^3
So your answer is 6500 cubic centimeters.
Answer:
50.24 units^2
Step-by-step explanation:
Area of circle formula: r^2
r = 4, = 3.14
3.14 * (4^2) = 3.14 * 16 = 50.24
Convert mixed number to improper fraction:
Answer:
A. Area under a curve
Step-by-step explanation:
Edge 2021