8 Diagram I shows a test-tube of height h mm. It is made up of a hollow cylindrical part and a hemispherical part. The inner radius isr mm. Its wall thickness is 1.2 mm. 6000 mm¹ of water is needed to fill up an empty test tube to the brim. hmm / mm 1.2 mm 12 mm Diagram I Diagram II (a) The water in the test tube is poured into a right circular cone cup as shown in Diagram II. The radius of the surface area of the water surface is 12 mm. (1) Show that the height of the water level in the cone is 125 mm. Answer

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
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8
Diagram I shows a test-tube of height / mm. It is made up of a hollow cylindrical part and a
hemispherical part. The inner radius isr mm. Its wall thickness is 1.2 mm.
6000 mm³ of water is needed to fill up an empty test tube to the brim.
hmm
/ mm
-1.2 mm
12 mm
Diagram I
Diagram II
(a) The water in the test tube is poured into a right circular cone cup
Diagram II. The radius of the surface area of the water surface is 12 mm.
Show that the height of the water level in the cone is 125 mm.
Answer
(i)
p as shown in
(ii) Find the surface area of the cone that is in contact with water.
3
[1]
Transcribed Image Text:8 Diagram I shows a test-tube of height / mm. It is made up of a hollow cylindrical part and a hemispherical part. The inner radius isr mm. Its wall thickness is 1.2 mm. 6000 mm³ of water is needed to fill up an empty test tube to the brim. hmm / mm -1.2 mm 12 mm Diagram I Diagram II (a) The water in the test tube is poured into a right circular cone cup Diagram II. The radius of the surface area of the water surface is 12 mm. Show that the height of the water level in the cone is 125 mm. Answer (i) p as shown in (ii) Find the surface area of the cone that is in contact with water. 3 [1]
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