Volume and Surface Area of Cylinder Flashcards
What is the area of a circle with radius r?
πr2
What is the circumference of a circle with radius r or diameter d?
2πr
or
πd
What is the volume of a cylinder with
radius r and height h?
Area of circle times height
πr2h
What is the volume of a cylinder with
radius 7 cm and height 16 cm?
Volume = π * 72 * 16
= 2460 cm3 (correct to 3 s.f)
If you are given the diameter and height of a cylinder, what must you do first to find the volume?
Need to find the radius by dividing the diameter by 2
What is the volume of a cylinder with
diameter 12 cm and height 9 cm?
r = 12/2
= 6cm
Volume = π * 62 * 9
= 1020 cm3 (correct to 3 s.f)
What is the curved surface area of a cylinder with
radius r and height h?
Circumference of circle times height
2πrh
What is the curved surface area of a cylinder with
radius 7 cm and height 16 cm?
Area of curved surface = 2 * π * 7 * 16
= 703.72 (correct to 2 d.p,)
What is the Total surface area of a cylinder with
radius r and height h?
Curved surface area and 2 times area of circle
2πrh + 2πr2
What is the Total surface area of a cylinder with
radius 7 cm and height 16 cm?
Total surface area = 2 * π * 7 * 16 + 2 * π * 72
= 1010 cm2 (correct to 3 s.f.)
If you are given the diameter and height of a cylinder, what must you do first to find the total surface area?
Need to find the radius by dividing the diameter by 2
What is the curved surface area of a cylinder with
diameter 12 cm and height 9 cm?
Area of curved surface = π * 12 * 9
= 339.29 (correct to 2 d.p,)
What is the total surface area of a cylinder with
diameter 12 cm and height 9 cm?
radius is 12/2 = 6 cm
Total surface area = π * 12 * 9 + 2 * π * 62
= 565 cm2 (correct to3 s.f.)
If the cylinder is open, what is the total surface area of a cylinder?
Since there is only 1 circle
Total surface area is 2πrh + πr2
