FREE Trial

Consider a wedding cake of infinite height, each layer of which is a right circular cylinder of

Question:

Consider a wedding cake of infinite height, each layer of which is a right circular cylinder of height 1. The bottom layer of the cake has a radius of 1, the second layer has a radius of 1/2, the third layer has a radius of 1/3, and the nth layer has a radius of 1/n (see figure). 

a. To determine how much frosting is needed to cover the cake, find the area of the lateral (vertical) sides of the wedding cake. What is the area of the horizontal surfaces of the cake?

b. Determine the volume of the cake.

c. Comment on your answers to parts (a) and (b).

Consider a wedding cake of infinite height, each layer of

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Answer rating: 56% (16 reviews)

a The circumference of the kth layer is 2 so its area is 2 and thus the total vertical surfac...View the full answer


answer-question-section
Answered By
tutor-profile-image
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others. I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years. I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+ 2+ Reviews 10+ Question Solved
Related Book For  book-img-for-question
Calculus Early Transcendentals

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books
Question Posted:
See More Questions

Related Video

The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.

Students also viewed these Mathematics questions

Statistics Of Democide Genocide And Mass Murder Since 1900 1st Edition - ISBN: 3825840107 - Free Book