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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Volume of 3d-shapes(cone , cylinder)

Grade: 4-a Lesson: S3-L4

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the radius of the base of a cylindrical container of volume 480 cum. in. The height of the cylindrical container is 19 in ( π = 3.141).
2	Step	The given values are	V = 480 cum.in and h = 19 in ( π = 3.141)
3	Formula	The volume (V) of a cylinder is given by the formula:	\$V = πr^2h\$
4	Step	Now plug the values into the formula	\$480 = 3.141 times r^2 times 19\$
5	Step	Now find the values of radius	\$r^2 = 480 / (59.769)\$
6	Step	After simplification	\$ r = \sqrt (8.030)\$ r = 2.83 in
7	Step	Therefore, the radius of the base of the cylindrical container is approximately 2.83 inches.
8	SumUp	Can you summarize what you’ve understood in the above steps?
9	Choice.A	This is correct because the calculations are done accurately	2.83 in
10	Choice.B	This is incorrect due to an error in calculating the cylinder’s volume	2.45 in
11	Choice.C	This is incorrect due to an error in calculating the cylinder’s volume	2.38 in
12	Choice.D	This is incorrect due to an error in calculating the cylinder’s volume	2.54 in
13	Answer	Option	A
14	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Calculate the radius of the base of a cylindrical container of volume 480 cum. in. The height of the cylindrical container is 19 in ( π = 3.141).

Step

The given values are

V = 480 cum.in and h = 19 in ( π = 3.141)

Formula

The volume (V) of a cylinder is given by the formula:

\$V = πr^2h\$

Step

Now plug the values into the formula

\$480 = 3.141 times r^2 times 19\$

Step

Now find the values of radius

\$r^2 = 480 / (59.769)\$

Step

After simplification

\$ r = \sqrt (8.030)\$

r = 2.83 in

Step

Therefore, the radius of the base of the cylindrical container is approximately 2.83 inches.

SumUp

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

Choice.A

This is correct because the calculations are done accurately

2.83 in

Choice.B

This is incorrect due to an error in calculating the cylinder’s volume

2.45 in

Choice.C

This is incorrect due to an error in calculating the cylinder’s volume

2.38 in

Choice.D

This is incorrect due to an error in calculating the cylinder’s volume

2.54 in

Answer

Option

SumUp

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