Question

the curved surface area of cylindercal tank is 1,056m2 if its height 12, find the radius​

Answer 1

Solution!!

The curved surface area (CSA) and the height of a cylindrical tank is given in the question. We have to find the radius of the base of the tank.

We will use the curved surface area formula of the cylinder to find the radius of its base.

Curved Surface Area (CSA) = 1056 m²

Height (h) = 12 m

CSA = 2πrh

Here, r is the radius of its base.

Putting the values in the formula.

1056 m² = 2 × (22/7) × r × 12 m

1056 m² = (44/7) × 12 m × r

1056 m² = (528/7 m) × r

1056 m² × (7/528 m) = r

r = 2 m × 7

r = 14 m

Hence, the radius of the base of the cylindrical tank is 14 m.

Answer 2

Step-by-step explanation:

Given:-

The curved surface area of cylindercal tank is 1,056m^2 and its height 12m

To Find :-

Find the rradius of the Cylindrical tank?

Solution:-

Given that

Height of the cylindrical tank = 12 m

h = 12 m

Let the radius of the Cylindrical tank be 'r' m

Curved Surface Area of a Cylinder = 2πrh sq.units

Curved Surface Area of the given cylindrical tank

=>2×π×r×12 sq.m

=>2×(22/7)×r×12 sq.m

=>(2×22×12×r)/7 sq.m

=>528 r/7 sq.m

According to the given problem

The Curved Surface Area of the given tank = 1056 sq.m

=>528r /7 = 1056

=>528r = 1056×7

=>538 r = 7392

=>r = 7392/528

=>r = 14 m

Therefore, radius = 14 m

Answer:-

Radius of the given cylindrical tank is 14 m

Used formula:-

• Curved Surface Area of a Cylinder = 2πrh sq.units
• Where, r = radius of the Cylinder
• h=height of the Cylinder
• π=22/7