9514 1404 393
Answer:
A: 144 cm
B: 64 cm
C: 36 cm
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr²h
Solving for h, we get ...
3V/(πr²) = h
Filling in the given values, we get ...
3(192π)/(πr²) = h
576/r² = h
Then the heights of the different cones are ...
A: r = 2, h = 576/4 = 144 . . . cm
B: r = 3, h = 576/9 = 64 . . . cm
C: r = 4, h = 576/16 = 36 . . . cm
Answer: The required ratio will be

Step-by-step explanation:
Since we have given that
Ratio of AD to AB is 3:2
Length of AB = 30 inches
So, it becomes

So, Length of AD becomes

Now, at either end , there is a semicircle.
Radius of semicircle along AB is given by

So, Area of semicircle along AB and CD is given by

Radius of semicircle along AD is given by

Area of semicircle along AD and BC is given by

And the combined area of the semicircles is given by

Area of rectangle is given by

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

Hence, the required ratio will be

Answer:
the formula for TSA of a cuboid is (lb+bh+hl)
soo it will be
(2.5x2+2x5+5x2.5)
(5+10+10)
(25)
so 25 cm^2
Answer:
20°
Step-by-step explanation:
Rotating the figure through an angle equal to the central angle of one "sector" will do the required mapping. That is 360°/18 = 20°.
Answer:
B, 140
Step-by-step explanation:
Alright so if you know to do volume this should be a breeze!
First off what you want to do is find the volume of the outside prism.
V=whl=4·5·8=160
160
Then find the smaller prisms volume.
V=whl=1·5·4=20
20
Minus the smaller from the bigger
160-20=140
The answers B!