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# Come in a cone A right circular cone is inscribed inside a ISBN: 9780321570567 2

## Solution for problem 49E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Problem 49E

Come in a cone A right circular cone is inscribed inside a larger right circular cone with a volume of 150 cm3. The axes of the cones coincide and the vertex of the inner cone touches the center the heights of the cones that maximizes the volume of the inner cone.

Step-by-Step Solution:

Solution 49E Step 1: We have to find the ratio of heights of outer cone and inner cone Suppose the base radius and height of cone are R and H And r and h be the base radius and height of inner cone 3 We have given the volume of outer cone V = 150cm Step 2: According to given data the figure is as follows Step 3: The sides of similar triangle are in proportion R = r H Hh Solving this for h H h = Rr h = H Hr R Now the volume of the inner cone is V i r h2 = r (H Hr) R 3 V i r H Hr R

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##### ISBN: 9780321570567

The answer to “Come in a cone A right circular cone is inscribed inside a larger right circular cone with a volume of 150 cm3. The axes of the cones coincide and the vertex of the inner cone touches the center the heights of the cones that maximizes the volume of the inner cone.” is broken down into a number of easy to follow steps, and 51 words. Since the solution to 49E from 4.4 chapter was answered, more than 327 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 49E from chapter: 4.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: cone, circular, Right, Volume, cones. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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