Answer:
Surface area of cylinder = 50.26 unit² (Approx.)
Step-by-step explanation:
Given:
Radius of base r = 2 units
Width of lateral rectangle = 4 units
Length of lateral rectangle = 6.28 units
Find:
Surface area of cylinder
Computation:
Surface area of cylinder = 2[Area of base] + Area of lateral rectangle
Surface area of cylinder = 2[πr²] + [l][b]
Surface area of cylinder = 2[(22/7)(2)²] + [6.28][4]
Surface area of cylinder = 2[(22/7)(4)] + 25.12
Surface area of cylinder = 25.14 + 25.12
Surface area of cylinder = 50.26
Surface area of cylinder = 50.26 unit² (Approx.)
The volume of a sphere is (4/3) (pi) (radius cubed).
The volume of one sphere divided by the volume of another one is
(4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³
Divide top and bottom by (4/3) (pi) and you have (radius-A)³ / (radius-B)³
and that's exactly the same as
( radius-A / radius-B ) cubed.
I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.
Earth radius = 6,371 km
Pluto radius = 1,161 km
Ratio of their radii = (6,371 km) / (1,161 km)
Ratio of their volumes = ( 6,371 / 1,161 ) cubed = about <u>165.2</u>
Note:
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
Answer:
10 visits
Step-by-step explanation:
So first let's make an equation, 7.74x + 8.93= 86.33. When you solve for x you get 10.
Step-by-step explanation:
log(x+2)-log(x-1)=log2
log(x+2)/(x-1)=log2
=> (x+2)=2(x-1)
=>x+2 =2x-2
=> x=4
