Step-2

Title: Three-dimensional (3D) shapes

Grade: 6-a Lesson: S4-L2

Explanation: Let us verify the answer here with the steps.

Lesson Steps Head1

Step Type Explanation Answer

1

Problem

A cylindrical pipe has a radius of 15 in and a total surface area of 915 square in. Calculate the height of the pipe.(π = 3.14).

2

Step

The given values are

r = 15 ft , surface area = 915 sq.ft

3

Formula

Total Surface Area is

\$"s" = 2πr^2 + 2πrh\$

4

Step

Now, plug these values into the formula

\$915 = 2π(15)^2 + 2π(15)"h"\$

5

Step

After simplification

⇒ \$915 = 1413 + 94 "h"\$

⇒ 94h = 498

⇒ h = 5.3 ≈ 5 in

6

Step

Therefore, the height of the pipe is 5 in.

7

SumUp

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

8

Choice.A

This is not the correct answer

8 in

9

Choice.B

This is not the correct answer

3 in

10

Choice.C

This is not the correct answer

6 in

11

Choice.D

This option is correct because it corresponds to the accurate value for the height of the cylindrical pipe

5 in

12

Answer

Option

D

13

SumUp

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


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