CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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Let V be the volume of a right circular cone of height h = 8 whose base is a circle of radius R = 4.
A(y) =
h
(a) Use similar triangles to find the area of a horizontal cross section at a height y. Give your answer in terms of y.
(Use symbolic notation and fractions where needed.)
0
V =
(b) Calculate V by integrating the cross-sectional area.
(Use symbolic notation and fractions where needed.)
Let V be the volume of a right circular cone of height h
R
A(y) =
h
V =
0
(a) Use similar triangles to find the area of a horizontal cross section at a height y. Give your answer in terms of y.
(Use symbolic notation and fractions where needed.)
(b) Calculate V by integrating the cross-sectional area.
(Use symbolic notation and fractions where needed.)
= 20 whose base is a circle of radius R = 5.
derive Da = kCn-1AOτ as function of conversion Xa for 0th and 2nd in PFR with variable volume.
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- A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.arrow_forwardA soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.arrow_forwardThe kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forward
- Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.arrow_forwardSolve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. The frustum of a right circular cone has a larger base area of 40.0 square centimeters and a smaller base area of 19.0 square centimeters. The height is 22.0 centimeters. Find the volume. Round the answer to the nearest cubic centimeter.arrow_forwardplease do within 15 minutes. I'll provide good reviews. Thank youarrow_forward
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