Step-1

Title: Surface area for Cube & Cylinder

Grade: 6-a Lesson: S3-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

The diameter of a cylinder is 16 inches and the height of the cylinder is 15 inches. Find the surface area of the cylinder.(pi = 3.14)

2

Step

The given values are

d = 16 in and h = 15 in

3

Hint

\$"radius" = "diameter"/2\$

⇒ \$r = 16/2\$
⇒ r = 8 in

4

Formula

Area of base is

\$"Area of base" = π"r"^2\$

5

Step

Now plug the values in the formula

⇒ \$"Area of base" = π(8)^2\$
⇒ Area of base = 64π sq.in

6

Step

Lateral surface area is

\$"Lateral surface area is" = 2π"rh"\$

7

Step

Now plug the values in the formula

⇒ \$"Lateral surface area is" = 2π times 8 times 15\$
⇒ Lateral surface area = 240π sq.in

8

Formula

Now find for total surface area is

\$"Total surfacea area" = 2 times "area of base" + "lateral surface area"\$

9

Step

Now plug the values in the formula

\$"Total surfacea area" = 2 times 64π + 240π\$

10

Step

After simplification

Total surface area = 1155.52 sq.in

11

Step

So, the surface area of the cylinder is 1155.52 sq.in.

12

SumUp

Can you summarize what you’ve understood in the above steps?

13

Choice.A

This is correct because it match the calculated surface area

1155.52 sq.in

14

Choice.B

This is incorrect because it doesn’t match the calculated surface area

1515.52 sq.in

15

Choice.C

This is incorrect because it doesn’t match the calculated surface area

1155.25 sq.in

16

Choice.D

This is incorrect because it doesn’t match the calculated surface area

1515.25 sq.in

17

Answer

Option

A

18

SumUp

Can you summarize what you’ve understood in the above steps?


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