I1. A cylinder and a cone have equal base radii and equal heights. If the volume of the cone is 50 em, find the8Areas and Volumes (IILevel 2volume of the cylinder.kietois12. The volume of a right circular çone is 1897 cm' and the height is 7 cm.(a) Find the base radius of the cone.(b) Find the curved surface area of the cone.heng"edrednts1ool13. In the figure, the frustum of height 4 cm is made by cutting off a right circularcone of base radius 3 cm from a solid right eircular cone of base radius 6 cm.3 cm(a) Find the volume of the frustum in terms of 7.4 ст(b) Find the total surface area of the frustum in terms of A.57

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Answered: A cylinder and a cone have equal base…

A cylinder and a cone have equal base radii and equal heights. If the volume of the cone is 50 cm', find the volume of the cylinder.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 48E

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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.

Question

I1. A cylinder and a cone have equal base radii and equal heights. If the volume of the cone is 50 em, find the
8
Areas and Volumes (II
Level 2
volume of the cylinder.
k
ie
to
is
12. The volume of a right circular çone is 1897 cm' and the height is 7 cm.
(a) Find the base radius of the cone.
(b) Find the curved surface area of the cone.
he
ng
"ed
red
nts
1ool
13. In the figure, the frustum of height 4 cm is made by cutting off a right circular
cone of base radius 3 cm from a solid right eircular cone of base radius 6 cm.
3 cm
(a) Find the volume of the frustum in terms of 7.
4 ст
(b) Find the total surface area of the frustum in terms of A.
57

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