सुश्रुत मूल्य तथा किस के चिकित्सक थे
Answers
Explanation:
Radius of the base of cylinder is 14 cm.
Volume of cylinder is 3080 cm³.
Step-by-step explanation:
Given:-
Curved surface area of cylinder is 440 cm².
Height of cylinder is 5 cm.
To find:-
Radius of base of cylinder.
Volume of cylinder.
Solution:-
We know,
\boxed{\sf \bold{Curved\: surface \: area \: of \: cylinder = 2 \pi r h}}
Curvedsurfaceareaofcylinder=2πrh
Where, r is radius of cylinder and h is height of cylinder.
Put the values :
\longrightarrow⟶ 2πrh = 440
\longrightarrow⟶ 2 × 22/7 × r × 5 = 440
\longrightarrow⟶ 44/7 × r × 5 = 440
\longrightarrow⟶ 44/7 × r = 440/5
\longrightarrow⟶ 44/7 × r = 88
\longrightarrow⟶ 44 × r = 88 × 7
\longrightarrow⟶ 44 × r = 616
\longrightarrow⟶ r = 616/44
\longrightarrow \purple{\boxed{\sf \bold{r = 14}}\star}⟶
r=14
⋆
Radius of base of cylinder is 14 cm.
Now,
\boxed{\sf \bold{ Volume \: of \: cylinder = \pi r^{2} h}}
Volumeofcylinder=πr
2
h
Put the values:
\longrightarrow⟶ 22/7 × (14)² × 5
\longrightarrow⟶ 22/7 × 196 × 5
\longrightarrow⟶ 21560/7
\longrightarrow \red{\boxed{\sf \bold{3080}}\star}⟶
3080
⋆
Therefore,
Volume of cylinder is 3080 cm³.