14. The radius and height of a cylinder are in the ratio 7:2. If the volume of the cylinder is 6062364 cm'. Find the totual surface area of the cylinder?.
Answers
Answer:Given :
⬤ Radius and Height of a Cylinder are in the Ratio 7:2 .
⬤ Volume of Cylinder is 8316 cm³ .
To Find :
⬤ Total Surface Area of Cylinder .
Formula Used :
\bf[\:{Volume \: of \: Cylinder = \pi{r}^{2}h}\:]
r = radius
h = height
Solution :
Let :
Radius of Cylinder be = 7x .
Height of Cylinder be = 2x .
Now :
8316 = πr²h
8316 = 22/7 × 7x × 7x × 2x
(8316 × 7) = 22 × 98x³
58212 = 2156x³
58212/2156 = x³
27 = x³
3 = x
Therefore , The Value of x is 3 .
Hence ,
Radius of Cylinder = 7x
= 7(3)
= 21
Height of Cylinder = 2x
= 2(3)
= 6
Therefore , Radius and Height of Cylinder is 21 cm and 6 cm.
Formula Used :
\bf[\:{Total \: Surface \: Area \: of \: Cylinder = 2\pi{r}(r+h)}\:]
r = radius
h = height
Now :
2πr (r + h)
2 × 22/7 × 21 (21 + 6)
44 × 3 (21 + 6)
132 (27)
3564
Therefore , Total Surface Area of Cylinder is 3564 cm² .
Step-by-step explanation:
Answer:
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