Q.12 The ratio of height of a right cylinder to its radius is 1:2 and it's
curved surface area is 616 m².Find it's diameter ?
Answers
Answer:
28cm
Step-by-step explanation:
Diameter of right cylinder is 28 cm.
Step-by-step explanation:
Given :-
Ratio of height and radius of right cylinder is 1:2.
Curved surface area of cylinder is 616 m².
To find :-
Diameter of cylinder.
Solution :-
Let, height of cylinder be 1x or x.
And, Radius of cylinder be 2x.
So,
Curved surface area of cylinder = 2πrh
Where,
r is radius of cylinder.
h is height of cylinder.
Put values :
\longrightarrow⟶ 616 = 2πrh
\longrightarrow⟶ 616 = 2 × 22/7 × 2x × x
\longrightarrow⟶ 616 = 44/7 × 2x²
\longrightarrow⟶ 616 × 7 = 44 × 2x²
\longrightarrow⟶ 4312 = 44 × 2x²
\longrightarrow⟶ 4312/44 = 2x²
\longrightarrow⟶ 98 = 2x²
\longrightarrow⟶ 98/2 = x²
\longrightarrow⟶ 49 = x²
\longrightarrow⟶ √49 = x
\longrightarrow⟶ x = 7
Measures :-
Height = x = 7 cm.
Radius = 2x = 2 × 7 = 14 cm.
We know,
Diameter = Radius × 2
\longrightarrow⟶ Diameter = 14 × 2
\longrightarrow⟶ Diameter = 28
Therefore,
Diameter of right cylinder is 28 m.
The answer is
diameter°=12square