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Authoritative PPT Summary
"How Big is an Ice Cream Box" PPT Courseware 5
1. Situation introduction
The bottom diameter of the cone-shaped ice cream packaging box is 6cm and the height is 10cm.
What is the volume of a conical packaging box in cubic centimeters?
What mathematical information do you know from the picture?
What questions can you ask based on this information?
2. Cooperation and exploration
What is the volume of a conical packaging box in cubic centimeters?
To find the volume of a conical packaging box is to find the volume of the cone.
How to find the volume of a cone?
Guess: The volume of the cone may be related to the volume of which three-dimensional figure?
How is the volume of a cone related to a cylinder?
Experimental activity requirements
(1) Materials: One cylindrical container and one conical container with equal base and equal height; appropriate amount of sand.
(2) Method 1: Fill the conical container with sand, then pour it into the cylindrical container until it is full.
Method 2: Fill the cylindrical container with sand, then pour it into the conical container until it is empty.
(3) What did you find? What conclusions can be drawn from this?
3. Independent practice
1. Calculate the volume of the following cones.
1/3×3.14×(3÷2)2×6 1/3×3.14×22×4.5
2. Find the volume of the following cones.
(1) S=5.6dm2 h=3dm
(2) r=6cm h=20cm
(3) d=8m h=6m
3. There is an approximately conical coal pile. Its bottom circumference is measured to be 31.4 meters and its height is 2.4 meters. If each cubic meter of coal weighs 1.4 tons, how many tons does this pile of coal weigh approximately?
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"How Big is an Ice Cream Box" PPT Courseware 4:
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"How Big is an Ice Cream Box" PPT Courseware 3:
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"How Big is an Ice Cream Box" PPT Courseware 2:
"How Big is an Ice Cream Box" PPT Courseware 2 1. Situation Introduction The bottom diameter is 2dm and the height is 3dm. How much cardboard is needed to make such a cylindrical paper tube? What mathematical information do you know from the picture? What questions can you ask based on this information? two..