# 4 1 21 &lr1B &/1414 44 414411W0wden2when cach edge is (16. Surface Area All edges of a cube are exrate of 6 centimeters per second. How fast is tearea changing when each edge is (a) 2 centime(b) Consider the trianladder, and theof the triangle7 feet from thewdee r S(c) Find the rate awall of the ho(b)aden a 1(b) 10 centimeters?dewhena3y417. Height At a sand and gravel plant, sand is fallinis 7 feet from(a)conveyor and onto a conical pile at a rate of 10 cubicminute. The diameter of the base of the cone is apprthree times the altitude. At what rate is the height of tchanging when the pile is 15 feet high? (Hint: The fomthe volume of a cone is V = nrh.)18. Height The volume of oil in a cylindrical comuincreasing at a rate of 150 cubic inches per second. Theof the cylinder is approximately ten times the radius. Arate is the height of the oil changing when the oil is 35 mhigh? (Hint: The formula for the volume of a cylneV= nr?h.)-2(b)whenx = 4y3Point In Exercises 7-10, a point isalong the graph of the given function atrd. Find dy dt for the given values of x.2 centimeters per second)r0(c) x = 1Figure for 215 inches per secondFOR FUon the mathex 0(c) x 2(c) x=2Ladder Para19. Depth A swimming pool is 12 meters long, 6 metersI meter deep at the shallow end, and 3 meters depdeep end (see figure). Water is being pumped into the pcubic meter per minute, and there is 1 meter of waterThe Colleget per secondMathArticle22. Consplankof a r*4(c) x 0deep end.mtimeters per secondoppowall(c)1 m0.1Salo

Question
78 views

check_circle

Step 1

Given,

Step 2

Consider the volume of the cylinger,

Step 3

Now differentiating with r...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in