Answer:
90π yd²
Step-by-step explanation:
the surface area of a cylinder is the sum of the lateral area and twice the aera of one end of the cylinder: π·d·l, where l represents the length of the cylinder. Here, the lateral surface area is π·6 yd·12 yd, or 72π yd².
The two ends add the following to the total surface area:
2·π·(d/2)², or 2π·d²/4.
Thus, the total surface area of the cyl. is
A = 2π·(6 yd)²/4 + 72π yd², or
A = 18π yd² + 72π yd² = 90π yd²
Note: Please check your source. L x W + 2pi ·r ^2 is incorrect.
Number two should correspond for the graphs, with graph paper, just follow the color coded lines. Hope this helps.
So there is 65 yards and one yard is 3 feet so you multiple 65 by 3 which is 195 . Then you divide by 4 as you have to see how many four foot pieces can be cut which you end up with 48.75 which means that you can have 48 four foot pieces. So since you have 48 four foot pieces you multiply 48 by 4 and you have 192 and if you subtract 195 which is how many feet there is in the 65 yards you get three feet and that is how much of the rope that is left over.
Answer:
The instantaneous velocity at 
is 
.
Step-by-step explanation:
We have the position as the function
As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.
so finding the derivate of
∴ 
The instantaneous velocity at
Therefore, the instantaneous velocity at is .
Please note that the negative value indicates the direction of movement, in this case, it would be backward.
