[The value of 7 is 3.142, correct to three decimal places.] [The surface area of a sphere is 4xr.] [The volume of a sphere is r'.]A closed container is made by joining together a cylinder of radius 9 cm and a hemisphere of radius 9 cm as shown in Diagram I. The length of the cylinder is 18 cm. The container rests on a horizontal surface and is exactly half full of water.-18Diagram I(a) Calculate the surface area of the inside of the container that is in contact with the water. Give your answer correct to the nearest square centimetre.(b) Show that the volume of the water is 9722 cm?(c) The container is held with its axis vertical, the hemisphere being at the bottom, as shown in Diagram II.Calculate the depth of the water.(d) The container is now placed with its circular end on a horizontal surface as shown in Diagram III.Find the depth of the water. [The value of 7 is 3.142, correct to three decimal places.][The surface area of a sphere is 4ar².][The volume of a sphere is ar°.]Q.1A closed container is made by joining togethera cylinder of radius 9 cm and a hemisphereof radius 9 cm as shown in Diagram I.The length of the cylinder is 18 cm.The container rests on a horizontal-18-surface and is exactly half full of water.Diagram I(a) Calculate the surface area of the inside of the container that is in contact with the water.Give your answer correct to the nearest square centimetre.(b) Show that the volume of the water is 9727 cm³.(c) The container is held withits axis vertical, the hemispherebeing at the bottom, as shownin Diagram II.Calculate the depth of the water.Diagram II(d) The container is now placed with itscircular end on a horizontalsurface as shown in Diagram III.Find the depth of the water.Diagram III

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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[The value of 7 is 3.142, correct to three decimal places.] [The surface area of a sphere is 4xr.] [The volume of a sphere is r'.]

A closed container is made by joining together a cylinder of radius 9 cm and a hemisphere of radius 9 cm as shown in Diagram I. The length of the cylinder is 18 cm. The container rests on a horizontal surface and is exactly half full of water.

-18

Diagram I

(a) Calculate the surface area of the inside of the container that is in contact with the water. Give your answer correct to the nearest square centimetre.

(b) Show that the volume of the water is 9722 cm?

Calculate the depth of the water.

(d) The container is now placed with its circular end on a horizontal surface as shown in Diagram III.

Find the depth of the water.

[The value of 7 is 3.142, correct to three decimal places.]
[The surface area of a sphere is 4ar².]
[The volume of a sphere is ar°.]
Q.1
A closed container is made by joining together
a cylinder of radius 9 cm and a hemisphere
of radius 9 cm as shown in Diagram I.
The length of the cylinder is 18 cm.
The container rests on a horizontal
-18-
surface and is exactly half full of water.
Diagram I
(a) Calculate the surface area of the inside of the container that is in contact with the water.
Give your answer correct to the nearest square centimetre.
(b) Show that the volume of the water is 9727 cm³.
(c) The container is held with
its axis vertical, the hemisphere
being at the bottom, as shown
in Diagram II.
Calculate the depth of the water.
Diagram II
(d) The container is now placed with its
circular end on a horizontal
surface as shown in Diagram III.
Find the depth of the water.
Diagram III

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