bartleby

An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the radius of the cylinder is 14 ft and its altitude measures 30 ft, what is the surface area of the observatory? If 1 gal of paint covers 300 ft^2, how many gallons are needed to paint the surface if it requires two coats?

Question

An observatory has the shape of a right circular cylinder surmounted by a
hemisphere. If the radius of the cylinder is 14 ft and its altitude measures 30 ft, what is the surface area of the observatory? If 1 gal of paint covers 300 ft^2, how many gallons are needed to paint the surface if it requires two coats?

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
Not helpful? See similar books
Mathematics For Machine Technology
Mathematics For Machine Technology
Volumes Of Pyramids And Cones. 25A
Learn more about
Cylinders
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Trigonometry Q&A

Find answers to questions asked by students like you.

Q: Use a calculator to convert 1 degree to radians to three significant digits.

A: TO convert degree to radian, one have to multiply by π180

Q: Determine the graph of the following function. y = 5 sin? ()

A: Given,           y = 5sin2x2

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list. Round your answ...

A: To solve the logarithmic equation for x ln3+x=2

Q: When can the square root property be used to solve a quadratic equation?

A: Square root property can be used when the quadratic equation is a perfect square. That is, when the ...

Q: Verify the identity. 1- sin a cos a cos a 1 + sin a Multiply the numerator and denominator by a comm...

A: The given identity is 1-sinαcosα=cosα1+sinα.   known fact: sin2θ+cos2θ=1cos2θ=1-sin2θanda2-b2=a+ba-b

Q: Find all angles that are coterminal with the given angle. 300

A: The given angle is  30°

Q: Find the solution of the exponential equation, as in Example 1. (Enter your answers as a comma-separ...

A: Given, 52x-3=1 Taking ln on both sides, we get ln(52x-3)=ln(1)Since,ln(am)=m(ln a) and ln(1)=0⇒(2x-3...

Q: Find the exact value of the remaining trigonometric functions of theta.

A: Click to see the answer

Q: Did I do question 14 right?

A: Click to see the answer

Q: Name the reference angle for each of the following angles.   240 degree

A: Name the reference angle for each of the angle 240 degree.

Q: Graph y=-  sin (-px) for  - 3 <= x <= 3

A: We have to graph y=-sin-πx, where -3≤x≤3 We know that sine is odd function. So, sin-x=-sinx Given fu...

Q: On the unit circle, the _______ measure of a central angle and the length of _______it cuts off are ...

A: Fill in the blanks "On the unit circle, the _______ measure of a central angle and the length of ___...

Q: Sketch the graph of y =sec x. For which values of x,  0 < =x  < = 2 pi is sec x is undefined ?...

A: Given- y=sec x To draw- The graph of the above trigonometric function and find the values of x , for...

Q: In the problems that follow, point P moves with angular velocity v on a circle of radius r.In each c...

A:  The point P moves with angular velocity v on a circle of radius r.We need to find the distance s tr...

Q: Instructions: Adding and subtracting radicals

A: given 26(8-43)open the bracket then multiply=2x86-2x46x3

Q: verify identity, then prove the identity cot2x=cosx-sinxtanx/secxsin2x

A: Click to see the answer

Q: A forester standing 200 feet from the base of a redwood tree observes that the angle of elevationtot...

A:  

Q: Solve each equation, where 0°<x <360°. Round approximate solutions to the nearest tenth degree. 1. c...

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: Question Write the following function in terms of its cofunction. sec 8. Provide your answer below:

A: Click to see the answer

Q: If theta = 40 degree is a central angle in a circle of radius 9 feet, find the arc length cut off by...

A: Consider the following: Radius = 9 ftcentral angle,θ=40°Length of arc,s=rθwhere, θ is in radians. Co...

Q: Graph each equation.       r = 3  cos theta

A: The given polar equation is r=3cosθ. Sketch the graph of the above function as shown below,  

Q: Find theta if theta is between 0° and 90°. Round your answers to the nearest tenth of a degree.   ta...

A: Given tan θ=6.2703             θ=tan-1(6.2703)   =80.93866367∘    

Q: Only a ____ ___ _____ function will have an inverse that is also a function.

A: Given- Only a ____ ___ _____ function will have an inverse that is also a function. To fill- The abo...

Q: An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 12 ?...

A: From the given data,

Q: If sin theta = -2/2 and theta terminates it . Find cos theta

A: Given that sinθ=-22. It is known that cosθ=±1-sin2θ. Substitute the given value and simplify as foll...

Q: Find the radian measure of angle theta, if theta is a central angle in a circle of radius r, and the...

A: Radius of the circle = r = 3 cmArc length = s = 9 cmAngle subtended at the center by the arc and rad...

Q: How do I prove the identity?

A: Given,            1-12sin2t=sin3t+cos3tsint+cost

Q: USE THE CONJUGATE METHOD. Verify the identity. Be sure to show all of your work (include all steps).

A: Click to see the answer

Knowledge Booster
Trigonometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Mathematics For Machine Technology
    Advanced Math
    ISBN:9781337798310
    Author:Peterson, John.
    Publisher:Cengage Learning,
    Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Elementary Geometry for College Students
    Geometry
    ISBN:9781285195698
    Author:Daniel C. Alexander, Geralyn M. Koeberlein
    Publisher:Cengage Learning
  • Algebra: Structure And Method, Book 1
    Algebra
    ISBN:9780395977224
    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
    Publisher:McDougal Littell
    Holt Mcdougal Larson Pre-algebra: Student Edition...
    Algebra
    ISBN:9780547587776
    Author:HOLT MCDOUGAL
    Publisher:HOLT MCDOUGAL
  • Mathematics For Machine Technology
    Advanced Math
    ISBN:9781337798310
    Author:Peterson, John.
    Publisher:Cengage Learning,
    Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Elementary Geometry for College Students
    Geometry
    ISBN:9781285195698
    Author:Daniel C. Alexander, Geralyn M. Koeberlein
    Publisher:Cengage Learning
    Algebra: Structure And Method, Book 1
    Algebra
    ISBN:9780395977224
    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
    Publisher:McDougal Littell
    Holt Mcdougal Larson Pre-algebra: Student Edition...
    Algebra
    ISBN:9780547587776
    Author:HOLT MCDOUGAL
    Publisher:HOLT MCDOUGAL