A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to three decimal places.) cm Submit Answer

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to three decimal places.) cm Submit Answer

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 33E: A solid is formed by cutting a conical section away from a right circular cylinder. If the radius...

See similar textbooks

Related questions

Q: 6. Find the value of -1 I 1 = [ ²₁ [2²=2² (2² + 1²³) dy d²x + + [ ₁ [²*² (2³² + y²³) dy dz I by…

Q: dy Find at (0,2) in tan(x³y² ) + 3y³ − 24 = x²y³ + 5x dx B. C. D. 25 36 5 500 103088 5 36 9 E. NO…

Q: Using an appropriate substitution, the integral [x² x² csc²(x³) cot(x³) is equal to - dx - In…

A: Given ∫x2 csc2(x3)cot(x3)dx Formula: ddx(cot x)=-csc2xddx(xn)=nxn-1 Consider ∫x2 csc2(x3)cot(x3)dx…

Q: Sugar is poured into a conical tank at the rate of 15cm3/sec whose bottom radius is always quarter…

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 160° (x,y) =…

A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

Q: 16. Given that sin x = Σ k=0 (-1) k (2k + 1)! T 2k+1 for all x, find the Taylor series for f(x) = x…

A: The given Taylor series is sinx=∑k=0∞-1k2k+1!x2k+1 for all x

Q: In order to evaluate the following integral :-√2+√7 COS-¹ (v cos-¹(√x) dx we first use the…

Q: -2 - 1 How did he get the value inside the circle 1-t x (t) = ૧ 1-t 2

Q: 5 4 3 2 | y = f(x) 2 lim x 2- lim 1 0 1 2 3 lim x →7+ 1 Enter each answer as a whole number (like…

A: 1) Given at exactly x=4, function value is 5, Therefore f(4)=5

Q: 10. Use the Comparison Test or Limit Comparison Test to determine whether k=2 k3 k5+2k + 23…

A: The given series ∑k=2∞k3k5+2k+23

Q: 6. Find the value of -1 √2-x² =[+1/²/² (x² + y²) dy dx + ***** ++ [ ₁²2= ² ( 2² + 1²³) dy dx √2-1²…

Q: Find the general solution of the differential equation. y (4) + 4y" + 4y = 0. NOTE: Use C₁, C2, C3,…

Q: Use the method of variation of parameters to determine the general solution of the given…

Q: This answer is w

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. -7t y…

Q: ! The derivative with respect to x of the function sec y where y = sec ¹ (2* cot¹x) is sec(2* cot¯¹…

Q: Find the following derivatives. Express your answer in terms of the independent variables ws and…

A: To find out ws, wt

Q: 1.3 domain: What is the domain of y = ln (x² - x - 6)? help (inequalities)

A: The function is y=ln(x2-x-6)

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

Q: Identify three cases for a function NOT to be differentiable at a. Explain why each case fails the…

Q: Use the Quadratic Formula to find all solutions of the equation in the interval [0, 2?). (Enter your…

Q: III. Solve each of the following: 3. (x - y - 2)dx + (3x + y − 10) dx = 0

A: Solution is given below:

Q: The function s(t) = t³ - 12t² + 45t represents the position of a particle (in meters), at time t (in…

A: We have to find points of position where object is at the rest position.

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: Solve until the 6th derivative and provide the summation notation of the taylor series. f(x) = ln 4x…

A: Explanation of the answer is as follows

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 100° (x,y) =…

A: I have appended the formula used in the solution part of the question

Q: (b) If ƒ : [0, ∞) — R is continuous on [0, ∞) and F(x) = Then show that ª (x − t)ƒ(t)dt, x ≥ 0. ď² F…

Q: ГО 1 2 1 1 3 2 1 2 3 3 1 0 0 0 3 3] Ld -d -а b C 3 2 4 5

A: Given: Matrix data is given

Q: Given the function f(r) = (r - 1)(r + 2)(r6) its f-intercept is ( its r-intercepts are Invalid…

A: Here we will find the f(r) intercept and r-intercepts,

Q: myopenmath.com/ Write an expression in factored form for the polynomial of least possible degree…

A: Solution :According to graph it has 4 roots.so least possible degree of 4.yx=kx+4x+1x-2x-4graph…

Q: It is known that sin x = +∞0 (-1)" Σ|zn+1)! (2n + 1)! n=0 1. Find the Maclaurin series for x…

Q: Find the area of the shaded region

A: Given :Function :y=1y=cos2x

Q: K If f(x) = x² + 7x and g(x) Answer = 51 find g(f(n)). g(f(n)) IL

Q: How did he get the value inside the circle bn = = = falt) sin (nwot) dit // (1 = 2 11 (= (₁-t) Sin…

A: Explanation of the answer is as follows

Q: Determine whether the following series converges or diverges: 2. 1. +00 Σ n=1 1 + sin2n] 10n +00 ΣΕ…

A: We need to determine whether the given series converges or diverges

Q: Consider the vector field F and the curve C below. F(x, y) = x4y5i + x5y4j, C: r(t) = (t²- 2t, t² +…

A: Consider the vector field F→ and the curve C F→(x,y)=x4y5i+x5y4jC:r→(t)=t2-2t,t2+2t , 0≤t≤1

Q: A vendor at a carnival sells cotton candy and caramel apples for $3 each. The vendor is charged $275…

Q: Find the gradient vector field of f. f(x, y) = xe³xy Vf(x, y) =

Q: In Exercises 35-40, find the partial derivative of the function with respect to each variable. 35.…

Q: If f(x)=√x+7 and h(x) = 6 -, find f(x) + h(x). X

Q: Solve: 20 tan² (0²) de a. O b. O c. ✓d. sec(0²) - 0 sec(0²) - 0² tan² (0²) - 0 tan(0²) - 0²

Q: A linear function is given. A(r) = − 2/3 r − 6 (a) Sketch the graph. (b) Find the slope of the…

Q: 4. -π/4 1 9cos² x-sin²x dx

Q: Give the domain and range for the given relation and decide whether or not the relation is a…

Q: 24 dx (144x²+1) Evaluate S- 2

A: Here we have to find the integral.

Q: Write its sum as the ratio of two integers. Step 1 In Part (a) we wrote the repeating decimal 0.5 as…

A: The solution is given below

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + 3x, 3…

A: The expression for the area of the surface revolution of y=fx about the x-axis on the interval a≤x≤b…

Q: or the graph below, identify a restricted domain for which the function has an -2 YA 8- 2- 0 -2- 2 6…

A: Topic:- calculus Definition :- The domain of a function f(x) is the set of all values for which…

Q: Given the measurement 2.4 g, find (a) the relative error (to 2 significant digits), and (b) the…

A: Given - Given the measurement 2.4 g Formula used - Relative error = greatest possible error /…

Question

70.5 Points]
ILS
Submit Answer
4.7.039.MI.
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to three decimal places.)
cm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.
Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.
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.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.
The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
Solve 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.
A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral surface 3 in. high. If the cost of the metal used is 0.5 per square inch and the cost of the cardboard is 0.2 cent per square inch, what is the approximate cost of constructing one container? Use 3.14.
For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a lateral area. b total area. c volume.
A slot is machined in a circular plate with a 41.36-millimeter diameter. Two milling cuts, one 6.30 millimeters deep and the other 3.15 millimeters, are made. A grinding operation then removes 0.40 millimeter. What is the distance from the center of the plate to the bottom of the slot? All dimensions are in millimeters.