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[The value of 7 is 3.142, correct to three decimal places.] [The surface area of a sphere is 4xr².] (The volume of a sphere is ar³.] 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 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 972.7 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. 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

[The value of 7 is 3.142, correct to three decimal places.] [The surface area of a sphere is 4xr².] (The volume of a sphere is ar³.] 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 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 972.7 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. 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

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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[The value of 7 is 3.142, correct to three decimal places.] [The surface area of a sphere is 4xr².] (The volume of a sphere is ar³.] 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 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 972.7 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. 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
Transcribed Image Text:[The value of 7 is 3.142, correct to three decimal places.] [The surface area of a sphere is 4xr².] (The volume of a sphere is ar³.] 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 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 972.7 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. 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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