The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to ...(mm)²??
Answers
Answer:
Here we have to find the surface area of a solid cylinder whose radius and height is given.Surface area of a solid cylinder having radius ‘r’ and height ‘h’
S.A = Curved surface area + Area of base and upper portionIn a solid cylinder Base & upper portions are in the form of a circle of radius ‘r’
S.A = 2πrh + 2πr². -------------------- (1)
Where
r = radius of the upper and lower portionsh = height of the cylinder.
Here values of ‘r’ and ‘h’ are given.
Note: Here we have to convert the values of ‘r & ‘h’ from cm to mm.
r = 2 cm = 20 mmh = 10 cm = 100 mm
Substituting the values of ‘r’ and ‘h’ in equation (1).
S.A = 2πrh + 2πr²
= 2πr(r +h) π
= 2πr(r +h) π= 2 × (22/7) × 20(20+100) mm².
.= 1.5 × 10⁴ mm²
The surface area of the solid cylinder = 1.5 × 10⁴ mm²....
Answer:
In this case , we have to find the total surface area of a cylinder.
Given,
r = 2 cm
= 20 mm
h = 10 cm
= 100 mm
the total surface area of a cylinder is given by 2πr (r+h)
we take the value of π as 22/7
by substituting the values ,
TSA = 2×22/7×20 (20+100)
= 2 × 22/7 × 20 × 120
= 15,085.7 mm²
hence , the total surface area of the cylinder is 15,085.7 mm²
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