Calculate Volume of Cylinders with Cross-Section Areas
Calculation of cylinder volumes based on cross-sectional areas and lengths. Understand the relationship between prisms and cylinders and learn to find the volume of different cylinders accurately using simple formulas and dimensions. Engage in practical tasks to enhance your understanding of these concepts.
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Presentation Transcript
Volume of a prism = Cross-Section Length 3cm 1cm 2cm 6cm 5cm 4cm 5cm 4cm 4cm 5cm RETRIEVE INSTRUCT PRACTISE SECURE
Volume of a prism = Cross-Section Length 24 cm3 20 cm3 3cm 1cm 68 cm3 2cm 60 cm3 6cm 5cm 4cm 5cm 4cm 5cm 4cm RETRIEVE INSTRUCT PRACTISE SECURE
Think, pair, share Is a cylinder a prism? A prism is A solid object with two identical ends and flat sides: The sides are rectangles (or parallelograms) The cross section is the same all along its length RETRIEVE INSTRUCT PRACTISE SECURE
Is a cylinder a prism? Although it is technically not a prism, you can find the volume in the same way. The cross-section is a circle. How do you find the area of a circle? RETRIEVE INSTRUCT PRACTISE SECURE
V = 91 cm3 13 cm2 Area Volume = 13 cm3 V = 32.5 cm3 V = 26 cm3 V = 52 cm3 V = 13 cm3 RETRIEVE INSTRUCT PRACTISE SECURE
Calculate the volume of this cylinder. 2 cm 4 cm Volume = cross-sectional area length ? ?2 ? ? 22 4 = 50.265 = 50.3 cm3 RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Calculate the volume of this cylinder. RETRIEV E DECODE 4 cm CONNEC T 8 cm VISUALIS E Volume = cross-sectional area length SUMMAR ISE INFER PREDICT = 100.5 cm3 EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Calculate the volume of this cylinder. RETRIEV E DECODE 3 cm CONNEC T 7 cm VISUALIS E SUMMAR ISE INFER PREDICT = 115.5 cm3 EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Calculate the volume of these cylinders. RETRIEV E 5 cm DECODE 3 cm CONNEC T 10 cm 7 cm VISUALIS E SUMMAR ISE INFER PREDICT = 785.4 cm3 = 115.5 cm3 EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Volume of Cylinders Work out the volume of each cylinder correct to 1 decimal place RETRIEV E DECODE CONNEC T VISUALIS E SUMMAR ISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER RETRIEV E DECODE CONNEC T VISUALIS E SUMMAR ISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Problem 1 RETRIEV E Work out the volume of this solid shape. Give your answer in terms of pi DECODE CONNEC T VISUALIS E 12 m SUMMAR ISE 9 m INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Problem 2 RETRIEV E Calculate the volume of this open cylinder Give your answer to 1 decimal place DECODE CONNEC T 7 cm VISUALIS E 5 cm SUMMAR ISE INFER 15 cm PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Problem 3 RETRIEV E A box is the shape of half a cylinder on top of a cuboid. Work out the volume of the box DECODE CONNEC T VISUALIS E SUMMAR ISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Problem 4 RETRIEV E This building block is in the shape of a cuboid. The block contains one steel cylindrical rod of length 90 cm The radius of the rod is 4cm The rest of the block in concrete DECODE CONNEC T VISUALIS E Work out the volume of the concrete block SUMMAR ISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
