Which of the following is the surface area of the right cylinder below?
2 answers:
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Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Step-by-step explanation:
Let x= height of each fir tree, y = height of each pine tree.
As per given, we have
x+y = 21 (i)
4x=y+24 (ii)
From (ii),
(iii)
Add (i) and (iii), we get
Put value of x in (i), we get
Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Answer:
a) 301.59 cubic centimeters
b) 235.87 square centimeters
Step-by-step explanation:
a)
Volume of ice cream cone is volume of hemisphere PLUS volume of cone.
Volume of Hemisphere =
radius is given as 4, so,
Volume of Hemisphere =
Now, Volume of Cone =
Where radius is 4 and height is 10, so,
Volume of Cone =
Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters
b)
Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.
Surface Area of Hemisphere =
Surface Area of Cone =
We dont need to use the first part, since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).
4^2 + 10^ 2 = l^2
16 + 100 = l^2
116 = l^2
l = 10.77
Now to find the surface area of cone =
Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters