Page 163 - NUMINO TG_6A
P. 163
This problem is an extention from the 3 Make sure students label the volume with the correct unit.
previous activity. Ask students how to find the
area of the base, which is equal to r r . . Find the volume of each cylinder.
Then, have them multiply it by the height to
find the volume. Volume of cylinder = (area of base) (height)
= (radius of base) (radius of base) π (height)
3. Have students find the volume of the six
cylinders using the formula: a. 6yd b.
Volume (area of base) (height)
20yd 5m 8m
(radius of base) (radius of base)
(height) 6 6 3.14 20 2,260.8 (yd3) 8 8 3.14 5 1,004.8 (m3)
Have students write down the answers and c. 5cm d . 6 in.
explain how they found them.
9cm 30 in.
Ask students if the answers they found
seem reasonable compared to the 5 5 3.14 9 706.5 (cm3) 3 3 3.14 30 847.8 (in.3)
drawings. Have them visualize containers of
the given sizes. e . 10 ft
f. 20 cm
2 cm
16 ft 2 2 3.14 20 251.2 (cm3)
90 8 8 3.14 10 2,009.6 (ft3)
Remind students to look carefully at the values given in the problems. They can easily get confused with the
radius and diameter. In 3d and 3e, students must divide the value of the diameter by 2 to determine the
radius, which is needed in the formula.
Explain to students that “base” does not always mean bottom. Tell them to look at problems 3e and 3f. The
base is actually the side of the figure.
146 NUMINO Teacher s Guide
previous activity. Ask students how to find the
area of the base, which is equal to r r . . Find the volume of each cylinder.
Then, have them multiply it by the height to
find the volume. Volume of cylinder = (area of base) (height)
= (radius of base) (radius of base) π (height)
3. Have students find the volume of the six
cylinders using the formula: a. 6yd b.
Volume (area of base) (height)
20yd 5m 8m
(radius of base) (radius of base)
(height) 6 6 3.14 20 2,260.8 (yd3) 8 8 3.14 5 1,004.8 (m3)
Have students write down the answers and c. 5cm d . 6 in.
explain how they found them.
9cm 30 in.
Ask students if the answers they found
seem reasonable compared to the 5 5 3.14 9 706.5 (cm3) 3 3 3.14 30 847.8 (in.3)
drawings. Have them visualize containers of
the given sizes. e . 10 ft
f. 20 cm
2 cm
16 ft 2 2 3.14 20 251.2 (cm3)
90 8 8 3.14 10 2,009.6 (ft3)
Remind students to look carefully at the values given in the problems. They can easily get confused with the
radius and diameter. In 3d and 3e, students must divide the value of the diameter by 2 to determine the
radius, which is needed in the formula.
Explain to students that “base” does not always mean bottom. Tell them to look at problems 3e and 3f. The
base is actually the side of the figure.
146 NUMINO Teacher s Guide
