1

Problem

A cylinder has a radius of 7cm and its volume is 1554 \$cm^3\$, what is the height of the cylinder? (π = 3.14)

2

Step

Given

r = 7cm and V = \$1554 cm^3\$

3

Formula

The volume of a cylinder is \$V = π \times (r)^2 \times h\$.

4

Step

Substitute the value into the formula:

\$1554 (cm)^3 = 3.14 \times (7 cm)^2 h\$

5

Step

Solve for h:

\$1554 (cm)^3 = 3.14 \times (7 cm)^2 h\$

\$h = ((1554) (cm)^3) / (3.14 \times 49(cm)^2)\$

h = 10.1 cm

6

Solution

So, the height (h) of a cylinder is 10.1 cm.

7

Sumup

Please summarize steps

Choices

8

Choice-A

It is correct because it accurately represents the height calculated using the given values and the formula for the volume of a cylinder

Correct 10.1 cm

9

Choice-B

This option is not correct. It is close to the correct value but not precise enough

Wrong 10.05 cm

10

Choice-C

This option is not correct. It is close to the correct value but not precise enough

Wrong 10.35 cm

11

Choice-D

This option is not correct. It is close to the correct value but not precise enough

Wrong 10.2 cm

12

Answer

Option

A

13

Sumup

Please summarize choices