Find the Lateral Area, Surface Area, and Volume of a cylinder with a diameter of 8 cm and a height of 12 cm. Use pi = 3.14 and round your solutions to the nearest hundredth if necessary.
2007-05-02 12:25:32 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Here, r (radius of the cylinder=8/2=4cm
h (height of the cylinder)=12cm
Therfore lateral area=2*pi*r*h
=2*3.14*4*12 sq.cm
=301.44 sq.cm
Surface are of the cylinder
=2*pi*r(r+h)
=2*3.14*4(4+12) sq.cm
=401.92 sq.cm
Volume of the cylinder
=pi*r^2*h
=3.14*4*4*12 cu.cm
=602.88 cu.cm
2007-05-02 13:27:50 · answer #1 · answered by alpha 7 · 0⤊ 0⤋
Circumference = 3.14 * d
Area of base = 3.14 * r^2
Volume = 3.14 * r^2 * h
Therefore
lateral area = 3.14 * 8 * 12
lateral area = 301.44 sq in
Surface area = lateral area + 2 * area of the base
surface area = 301.44 + 2 * 3.14 * 4^2
surface area = 301.44 + 100.48 = 401.92 sq in
Volume = 3.14 * 4^2 * 12
Volume = 602.88 cu in
.
2007-05-02 20:21:00 · answer #2 · answered by Robert L 7 · 1⤊ 0⤋