the height of a cone is 16cm and the diameter of its base is 24cm.Find it's total surface area and curved surface area
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Answer:
the height of a cone is 16cm and the diameter of its base is 24cm.Find it's total surface area and curved surface area
for figure, kindly find the attached diagram to view the figure of Cone.
area of curved surface of cone= (pi*r*l)
pi=3.142
h=16cm,
d=24 cm,
to find radius we know that,
r=d/2
r=24/2
r=12cm.
and we also know that
l^2=h^2+r^2
l^2=16^2+12^2
l^2=256+144
l^2=400
taking root on side and we will get
l=length=20 cm
area of curved surface of cone= (pi*r*l)
area of curved surface of cone=(3.142*12*20)
area of curved surface of cone=754.08 square cm.
total surface area of cone=pi*r(l+r)
total surface area of cone=3.142*12(20+12)
total surface area of cone=1206.528 square cm
Hello mate !!!!!!!
Here is ur answer......
Height = h = 16cm
Diameter = 24cm
Radius = r = 24/2 = 12cm
We needed slant height = l
So, l = √(h^2 + r^2)
l = √(16^2 + 12^2)
l = √(265 + 144)
l = √(400)
l = 20cm
Now total surface area = pi×r (l+r)
= 22/7 ×12 (20+12) = 22/7 ×12 ×32= 8448/7 = 1206.85 sq cm
Curved surface area = pi × r× l
= 22/7 × 12 × 20 = 5280/7 = 754.28 sq cm.
Therefore TSA = 1206.85 sq cm
And CSA = 754.28 sqcm
HOPE THIS WILL HELP YOU....