verify stokes theorem for vyi x j33 and surface S: the circular disk - = X2 + y2 1, z=0.<
Answers
Answer:
Required surface area = 2200 cm²
Required volume of the cylinder = 19250 cm³.
Step-by-step explanation:
Given
Circumference of the base = 110 cm
Height of the cylinder = 20cm
Now -:
As the base is circular so
the circumference will be
\begin{lgathered}= > 2\pi \: r = 110 \\ = > 2 \times \frac{22}{7} \times r = 110 \\ = > \frac{44r}{7} = 110 \\ = > r = \frac{110 \times 7}{44} \\ = > r = \frac{ \cancel110 \times 7}{ \cancel44} \\ = > r = \frac{ \cancel10 \times 7}{ \cancel4} \\ = > r = \frac{35}{2} \\ = > \boxed{r =17.5cm}\end{lgathered}
=>2πr=110
=>2×
7
22
×r=110
=>
7
44r
=110
=>r=
44
110×7
=>r=
4
4
1
10×7
=>r=
4
1
0×7
=>r=
2
35
=>
r=17.5cm
As the formula for the volume is πr²h
\begin{lgathered}=> \frac{22}{7} \times {(17.5)}^{2} \times 20 \\ = > \frac{22}{7} \times 17.5 \times 17.5 \times 20 \\ = > \frac{22}{ \cancel70} \times 175 \times 175 \times \cancel2 \\ = > \frac{22}{ \cancel35} \times \cancel175 \times 175 \\ = > 22 \times 5 \times 175 \\ = > 19250 {cm}^{3}\end{lgathered}
=>
7
22
×(17.5)
2
×20
=>
7
22
×17.5×17.5×20
=>
7
0
22
×175×175×
2
=>
3
5
22
×
1
75×175
=>22×5×175
=>19250cm
3
And surface area is 2πrh
\begin{lgathered}= > 2 \times \frac{22}{7} \times 17.5 \times 20 \\ = > \frac{44 \times \cancel175 \times 2}{ \cancel7} \\ = > 44 \times 25 \times 2 \\ = > 2200 {cm}^{2}\end{lgathered}
=>2×
7
22
×17.5×20
=>
7
44×
1
75×2
=>44×25×2
=>2200cm
2
Answer:hy
Step-by-step explanation: