You should get something like this
Answer:
14.07cm
Step-by-step explanation:
volume of a cylinder is πr2h
22/7*8.4*8.4*h=3119.5
h=14.07cm
Answer:
Step-by-step explanation:
Remark
Assume all of the sheet of plywood is to be used.
Front and back = 2 * 2x *h
Top and Bottom = 2 * 2x * x
Left/Right side = 2 * x * h
Total area = 4xh + 4x^2 + 2xh
Total area = 6xh + 4x^2
Total area = 600
6xh + 4x^2 = 600
h = (600 - 4x^2)/6x
h = 100/x - 2/3 x
Volume = x * 2x * h
Volume = 2x^2 * (100/x - 2/3 x)
Volume = 200x - 4/3 x^3
I can do this without calculus (I think), but it is much easier to use it.
dV/dx = 200 - 4x^2
This is a maximum when dV/dx = 0
dV/dx = 200 - 4x^2 = 0
4x^2 = 200
x^2 = 50
x = 5√2
Answer: 55
Step-by-step explanation:
Since lines m and n are parallel, angle 55 would be the same for the measure of angle 1.
Answer:
The first term of the geometric series is 1
Step-by-step explanation:
In this question, we are tasked with calculating the first term of a geometric series, given the common ratio, and the sum of the first 8 terms.
Mathematically, the sum of terms in a geometric series can be calculated as;
S = a(r^n-1)/( r-1)
where a is the first term that we are looking for
r is the common ratio which is 3 according to the question
n is the number of terms which is 8
S is the sum of the number of terms which is 3280 according to the question
Plugging these values, we have
3280 = a(3^8 -1)/(3-1)
3280 = a( 6561-1)/2
3280 = a(6560)/2
3280 = 3280a
a = 3280/3280
a = 1