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.
Answer:
15%
Step-by-step explanation:
Let c represent the regular price of the carpet.
Then:
sale price = regular price less discount
$374 = c - $66
Adding $66 to both sides isolates (solves for) c:
$374 + $66 = c = $440. This is the regular price.
$66
---------- = 0.15 This is the fraction of the regular price by
$440 which the regular price is reduced.
Then the percentage of this discount was 0.15(100%) = 15%
21x-33°=180°-135°
21x=12°
x=12/21
Answer:
7 7/8 cups of flour
Step-by-step explanation:
2.25 times 3.5 equals 7.875
Answer:3.75
Step-by-step explanation:
just divide