Figure 2 shows a cuboid and a cylinder (not drawn to scale). Edge AD has length 12 cm, edge BC has length 8.0 cm and the diagonal AC has length 26 cm. The radius r of the cylinder is 10 cm. r = 10 cm 12 cm B 8.0 cm 26 сm Figure 2 Give your answers to each of the following to two significant figures. (iii) (iv) If the volume of the cylinder is equal to the volume of the cuboid, find the height h of the cylinder, showing your working at each stage. (v) Find the surface area of the cylinder.
Figure 2 shows a cuboid and a cylinder (not drawn to scale). Edge AD has length 12 cm, edge BC has length 8.0 cm and the diagonal AC has length 26 cm. The radius r of the cylinder is 10 cm. r = 10 cm 12 cm B 8.0 cm 26 сm Figure 2 Give your answers to each of the following to two significant figures. (iii) (iv) If the volume of the cylinder is equal to the volume of the cuboid, find the height h of the cylinder, showing your working at each stage. (v) Find the surface area of the cylinder.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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
Transcribed Image Text:Question 5
(a) Figure 2 shows a cuboid and a cylinder (not drawn to scale). Edge AD
has length 12 cm, edge BC has length 8.0 cm and the diagonal AC has
length 26 cm. The radius r of the cylinder is 10 cm.
10 cm
12 cm,
B.
A
h
8,0 cm
26 cm
Figure 2
Give your answers to each of the following to two significant figures.
(iii)
(iv) If the volume of the cylinder is equal to the volume of the cuboid,
find the height h of the cylinder, showing your working at each
stage.
(v) Find the surface area of the cylinder.
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