Answer:
-25
Step-by-step explanation:
when b = 6
sub b = 6 into b^2-9b-7
6^2-9(6)-7
36-54-7
36-61
-25
Let say radius is r
<span>its height is h </span>
<span>its lateral area = y </span>
<span>y = 2 pi r h </span>
<span>since the cylinder is inscribed in the sphere </span>
<span>So (2r )^2 + h^2 = 64 </span>
<span>then 4 (r^2) = 64 - h^2 </span>
<span>since y^2 = 4 (pi)^2 r^2 h^2 </span>
<span>then y^2 = (pi)^2 *h^2 * (64 -h^2) </span>
<span>y^2 = 64 (pi)^2 * h^2 - (pi)^2 * h^4 </span>
<span>2 y y' = 128 (pi)^2 * h - 4 (pi)^2 * h^3 </span>
<span>putting y' = 0 </span>
<span>4 (pi)^2 h ( 32 - h^2)=0 </span>
<span>ether h = 0 testing this value (changing of the sign of y' before and after ) y is minimum </span>
<span>or h = 4 sqrt(2) </span>
<span>testing this value (changing of the sign of y' before and after ) y is maximum </span>
<span>So the maximum value of y^2 = (pi)^2 *32 *( 64 - 32) </span>
<span>y^2 = (pi)^2 * (32)^2 </span>
<span>y = 32 (pi) square feet
hope this helps</span>
In order to solve this problem easily you coin this method: Find the squares of 0.13 and 0.14. They are respectively 0.0169 and 0.0196. Irrational numbers are going to located between this interval, considering that we are not counting perfect squares.
are the three possible answers.
Answer:Yancy rents a car for $20 per day plus 12 cents per mile. He had the car for one day and was charged $63.68. Yancy drove the car a total of miles.
Step-by-step explanation 364:miles
Answer:
bigger I believe
Step-by-step explanation:
