Answer: r ≈ 5.95
Step-by-step explanation:
Let S be the surface area , then
S = + r
Differentiating S with respect to r , we have
dS = dr + dh
= (2r + + ) dr + dh
For the area to remain the same it means dS = 0
since r = 6cm , h = 8cm , dh = 0.28 then we have
0 = (12π + 10π +)dr + X 0.28.
Making dr the subject of formula , we have
(12π + 10π +)dr = - ( X 0.28)
() dr = -
(640)dr = - 33.6
dr = - 33.6 / 640
dr = 0.05
This means that the radius should decrease by 0.05 for the area to remain the same. That means the radius = 6 - 0.05
r ≈ 5.95
Answer:
Assume a 10-year period at 8% compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at t = 10.
Step-by-step explanation:
13 is what percent of 20? = 65.
13: 20*100 =
(13*100): 20 =
1300: 20 = 65
Percentage solution with steps:
Step 1: We make the assumption that 20 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=20$100%=20.
Step 4: In the same vein, $x\%=13$x%=13.
Step 5: This gives us a pair of simple equations:
Answer:0 3/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula of an area of a circle:
r - radius
The formula of a circumference of a circle:
We have the area of a circle
Substitute to the formula and solve for r:
<em>divide both sides by π</em>
Put the value of r to the formula of a circumference: