Answer:
The volume of a sphere of radius r is:
S = (4/3)*pi*r^3
The volume of a cylinder of radius r and height h is:
C = pi*r^2*h
For this problem the height of the cylinders will be equal to the diameter of the spheres, which is equal to two times the radius.
First, let's use the radius: r = 2.
The volume of the sphere will be:
S = (4/3)*3.14*(2)^3 = 33.49
The volume of the cylinder, where h = 2*2 = 4, is:
C = 3.14*(2^2)*4 = 50.24
Now, let's choose the radius r = 3.
The volume of the sphere will be:
S = (4/3)*3.14*3^3 = 113.04
The volume of a cylinder with this radius and h = 3*2 = 6, is:
C = 3.14*(3^2)*6 = 169.56
Answer:
51,129
Step-by-step explanation:
x+x+78=180(supplementary angles are 180)
2x+78=180
2x= 102
x= 51
x+78 = 129
Answer:
The smallest of the two consecutive integers is 10 or less.
Step-by-step explanation:
Let x represent the smallest of the even integers in the sequence.
Then the sum of two consecutive even integers is ...
x + (x +2) = 2x +2
And half the sum of the next two consecutive even integers is ...
(1/2)((x +4) + (x +6)) = x + 5
The relationship between these values is ...
2x +2 ≤ 7 + (x +5)
Subtracting x+2 gives ...
x ≤ 10
The least of the two consecutive even integers is at most 10.
Answer:
The total surface area is 336ft2
Step-by-step explanation:
solution:
total suface area of the pyramid
=area of base square +(12)2 = 4 (1/2 x 12 x 8)
=144+192
=336ft2
then the total surface area is 336ft2
