Math, asked by hinaaftab5891, 3 days ago

how many significant figures are there in the area of a cylinder whose diameter is 5 cm​

Answers

Answered by Dan104Sa
2

Answer:

there is no “proper number of significant figures”. It’s a trick question.

Step-by-step explanation:

Answered by ravilaccs
1

Answer:

The number of significant figured are there in the area of a cylinder whose diameter is 5 cm​ is 4 digits

Step-by-step explanation:

The cylinder area is equal to the sum of the area of two circular bases and the curved surface area. In right cylinders, the two circular bases are exactly over each other and the axis line produces a right angle to the base. In case one of the circular bases is displaced and the axis does not produce the right angle to the base, then it is called the oblique cylinder.

The total area of a cylinder is based on:

Curved Surface Area (CSA)Base Area

Curved Surface Area

The curved surface area of a cylinder (CSA) is defined as the area of the curved surface of any given cylinder having a base radius ‘r’, and height ‘h’, It is also termed as Lateral Surface Area (LSA). The formula for a curved area or lateral area is given by:

CSA or LSA = 2π × r × h Square units

Base Area of Cylinder

The base of the cylinder is a circular shape. Hence, by the formula of area of the circle, we know,

Area of the circular bases of cylinder = 2 (πr2)  [Since the cylinder has two circular bases]

Total Surface Area of Cylinder

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

TSA = 2π × r × h + 2πr2= 2πr (h + r) Square units

Diameter of Base of Cylinder = 5 cm.

Height of Cylinder = 30 cm.

To Find : Total Surface Area of Cylinder.

Solution :

Using Formula :$$\longmapsto \text { T.S.A of Cylinder }=2 \pi r(r+h)$$

Putting Values :

$$\longmapsto 2 \times \frac{22}{7} \times \frac{5}{2}\left(\frac{5}{2}+\frac{30}{1}\right)$$

$$\longmapsto \frac{110}{7}\left(\frac{5+60}{2}\right)$$

$$\longmapsto \frac{110}{7} \times \frac{65}{2}$$

$$\longmapsto \frac{7150}{14}$$

$$\longmapsto \ 510.7

So , Total Surface Area of Cylinder is 510.7 cm²..

The number of significant figured are there in the area of a cylinder whose diameter is 5 cm​ is 4 digits

Learn more about the cylinder:

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