Answer:
x = 4.5
Surface area of the cylinder = 183.1248
Volume of Cylinder = 183.1248
Step-by-step explanation:
Volume of Cylinder = πr²h
And Surface Area of Cylinder = 2πr( r + h)
where, r is radius of cylinder = [tex]\frac{1}{2} \times7\frac{1}{5}=\frac{36}{10}[/tex]
and h = height of cylinder = x (unknown)
1. Surface area of the cylinder = Volume of the cylinder
⇒ πr²h = 2πr( r + h)
⇒ rh = 2(r + h)
⇒ [tex]\frac{36}{10} \times x = 2(\frac{36}{10} +x)\\\frac{36}{10}x = \frac{2(36+10x)}{10}[/tex]
⇒ 36x = 72 + 20x
⇒ 16x = 72
⇒ x = 4.5
2. Surface Area of Cylinder = 2πr( r + h)
[tex]=2\times 3.14\times\frac{36}{10}\times(\frac{36}{10}+4.5 )\\=183.1248[/tex]
And, Volume of Cylinder = πr²h
= 3.14 × 3.6 ×3.6 × 4.5
= 183.1248
