A pyramid 15 cm high is divided into three parts by two planes parallel to the base. These planes are at distances 3 cm and 10 cm from the vertex. Find the ratio of the volume of the þiggest part to the volume of the smallest part.
A pyramid 15 cm high is divided into three parts by two planes parallel to the base. These planes are at distances 3 cm and 10 cm from the vertex. Find the ratio of the volume of the þiggest part to the volume of the smallest part.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Concept explainers
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
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![A pyramid 15 cm high is divided into three parts by two planes parallel
to the base. These planes are at distances 3 cm and 10 cm from the
vertex. Find the ratio of the volume of the biggest part to the volume of
the smallest part.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03bf511e-6cd2-45b6-b094-9dd9a2377481%2F203c5c68-ed23-4141-92cd-245c07e488dd%2Fdafm4mj_processed.png&w=3840&q=75)
Transcribed Image Text:A pyramid 15 cm high is divided into three parts by two planes parallel
to the base. These planes are at distances 3 cm and 10 cm from the
vertex. Find the ratio of the volume of the biggest part to the volume of
the smallest part.
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