Surface area of a cylinder = 2 x Pi x r^2 + 2 x Pi x r x h
R = 27 cm
H = 37 cm
Take away the Pi seeing as you want to keep it in terms of Pi
2 x 27^2 + 2 x 27 x 37 = 3456 Pi cm^2
Your answer is B
Given
piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.
What is the area of a piece of plywood .
To proof
Here plywood shape in the form of rectangle.
Formula
Area of rectangle = Length×Breadth
As given in the question
Length =2 feet 8 inches
Breadth = 2 feet 4 inches
First convert feet into inches
1 feet = 12 inches
2 feet 8 inches = 2×12 + 8
= 32 inches
Also
2 feet 4 inches = 2×12 +4
= 28 inches
put is in the above formula
Area of plywood = 32 ×28
= 896 inches²
Therefore option (b) is correct
Hence proved
He should buy 32 feet of fencing. I got 32 by just finding the perimeter or in other words adding 10+10+6+6 which equal 32. You would NOT do area or 10×6 because that would include that land within the fenced area and who wants 60 feet of fencing that you can't put anything in?
Good luck, hope that helped.
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Answer:
36 ft
Step-by-step explanation:
<u>Given </u><u>:</u><u> </u>
We need to convert it into feets. We know that ,
1 yard = 3 feet
12 yards = 12 * 3 ft
12 yards = 36 ft .
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>36</u><u> </u><u>feets </u><u>.</u>