Mathematics, 14.11.2019 04:31 busra09

Asolid is formed by adjoining two hemispheres to the ends of a right circular cylinder. the total volume of the solid is 6 cubic centimeters. find the radius of the cylinder that produces the minimum surface area. (round your answer to three decimal places.) a solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. an industrial tank of this shape must have a volume of 4480 cubic feet. the hemispherical ends cost twice as much per square foot of surface area as the sides. find the dimensions that will minimize the cost. (round your answers to three decimal places.)

Answers: 2

Show answers

Answers

Answer from: cammie505

1. The answer of the radius of the cylinder is 1.127cm to produce the minimum surface area

2. The radius of the industrial tank is 1.465ft and the height is 662.396 ft

Step-by-step explanation:

The first step is to draw the shape and to determine the total surface area and the total volume of the shape. This is done by adding the total surface area of two hemispheres and the surface area of the cylinder and for the volume this is done by adding the volume of two hemispheres and the volume of the cylinder.

The second step is to make the total volume of the shape the constraint equation and the total surface area of the shape becomes the optimisation equation. From the constraint equation solve for h and make it in terms of r (you should advisable use V as a constant and finally substituting at the end). Thereafter, input the value of h in the optimisation equation and differentiate the equation with respect to r. Finally equate the equation to zero.

Third step involves solving for r

Now, for the second question, one has to double the total surface area of the hemispheres to provide the cost equation (this is done to take into account the higher costs of the hemispherical ends. Solve in the same way as the first and you will get the answer.

[KINDLY NOTE I TRIED TYPING THE SOLUTION BUT IT TOOK SO LONG THAT I GOT LOGGED OUT SO FIND ATTACHED PICTURES OF THE SOLUTION, if you follow the steps, it would serve as a guide]

Asolid is formed by adjoining two hemispheres to the ends of a right circular cylinder. the total vo

Answer from: Quest

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒ $x\frac{60}{100}=45$

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

$\frac{x(.6)}{(.6)}= \frac{45}{(.6)}$

⇒ x = 75

therefore 75 tickets have been sold so far.

Answer from: Quest

5050 i think

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 14:00

You and a friend race across a field to a fence and back. your friend has a 50-meter head start. the equations shown represent you and your friend's distances dd (in meters) from the fence tt seconds after the race begins. find the time at which you catch up to your friend. you: d=∣−5t+100∣d=∣−5t+100∣ your friend: d=∣−313t+50∣∣

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.

Answers: 1

Answer

You know the right answer?

Asolid is formed by adjoining two hemispheres to the ends of a right circular cylinder. the total vo...

Questions