The ends of a horizontal tank 20 0 ft long are ellipses, which can be described by the equation 9x 2 20y 2 180, where x and y are measured in feet The area of an ellipse is A ab Find the volume of the tank

Question: The ends of a horizontal tank 20.0 ft long are ellipses, which can be described by the equation 9x 2 + 20y 2 = 180,

The ends of a horizontal tank 20.0 ft long are ellipses, which can be described by the equation 9x² + 20y² = 180, where x and y are measured in feet. The area of an ellipse is A = πab. Find the volume of the tank.

Step by Step Solution

★★★★★

3.35 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the volume of the tank we need to multiply the area of its ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Basic Technical Mathematics Questions!

The tapered shaft is made from 2014-T6 aluminum alloy, and has a radius which can be described by the equation r = 0.02(1 + x 3/2 ) m, where x is in meters. Determine the angle of twist of its end A...

KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...

A vertical pole of solid circular cross section is twisted by horizontal forces P = 1100 lb acting at the ends of a horizontal arm AB (see figure). The distance from the outside of the pole to the...

A laser beam 6.80 mm in diameter is incident on a plane surface at an angle of 62.0, as shown in Fig. 21.68. What is the elliptical area that the laser covers on the surface? (See Exercise 55.) Data...

i dont know how to solve this The ends of a horizontal tank, 23 meters long, are ellipses, which can be described by the equation 4x2+ 20y" = 80, where x and y are measured in meters. The area of an...

Directions: Neatly show your work, write units where appropriate, and use good mathematical reasoning. Write complete sentence answers where appropriaTo answer questions 1 - 11, refer to the...

1(Multiple Choice Worth 1 points) (06.06 LC) An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the...

A. B. A. B. ( ( ) ) Beginning and Intermediate Algebra An open source (CC-BY) textbook Available for free download at: http://wallace.ccfaculty.org/book/book.html by Tyler Wallace 1 ISBN...

40. Find dy in terms of x and y for the function x + y = 6. dx y a. . X b. 6 dy 2 X N - + y c . a dy y dy 2 12 d. dry dx 2 d'y y e. dx 2 41. The function f(x) = x has two tangents drawn to it at the...

In a situation in which data are known to three significant digits, we write $6.379 \mathrm{m}=6.38 \mathrm{m}$ and $6.374 \mathrm{m}=6.37 \mathrm{m} .$ When a number ends in $5,$ we arbitrarily...

Scientists can use their knowledge of genetics to _____________ that attack the rices man predators. Select one: a. Breed plants b. Breed insects c. Bread animals d. Clean the air

Write a Lewis structure for each of the following organic molecules All the Diagrams are included in the Solution

odys / serviet / ekp ? action \ ( = - 1 \ & \ ) sectionIndex = 1 \ &USERCHECKED 5 \ ( = \ ) Y \ &dateStartTime \ ( = 1 7 4 3 1 1 8 3 8 5 0 6 4 \ & \ ) FILTER \ ( = \ ) ALL \ &TX \ ( = \ ) REDO...

Al Hart of Hart Engineering is considering whether to purchase a new copy machine. He purchased the old machine two years ago for $8,500. When purchased, the old machine had an estimated useful life...

Use the distributive property to multiply. Then, if possible, simplify the resulting expression. 15((2/3)x - 4/5)

List the numbers from smallest to largest. 267,000,000; 3.14 x 10 7 ; 1,962,000; 4.79 x 10 6

Determine whether the set of numbers is closed under the given operation. Natural numbers, subtraction.

Dr . Popper, is a leading worldwide integrated brand owner, bottler, and distributor of non - alcoholic beverages. The following represents selected data from recent financial statements of Dr ....

You observe a portfolio for five years and determine that its average retum is 11.8% and the standard deviation of its returns in 19.7%. Would a 30% loss next year be butside the 95% confidence...

A firm's net income is $315,000 on sales of $31.5 million. Average assets for the period were $7 million. For the year A. margin was 5%, turnover was 1.2, and ROI was 6%. B. margin was 6%, turnover...