1

Problem

Determine the Total surface area of a cone whose base radius is 8 cm and slant height is 14 cm. (Use π value of 3.14)

2

Step

Given that the height (h) is and the radius(r) is

h = 14 cm and r =8 cm

3

Formula

The curved surface area of a cone (A) is A = \$πr(r + l)\$.

4

Step

Substitute the values into the formula and then make it simplify:

A = \$3.14 \times 8(8 +14)\$

A = \$3.14 \times 8 (22)\$

A = \$552.64 (cm)^2\$

5

Solution

So, the curved surface area of a cone (A) is \$552.64 (cm)^2\$.

6

Sumup

Please summarize steps

Choices

7

Choice-A

It is the correct option for the total surface area of a cone using a given radius and slant height

Correct \$552.64 cm^2\$

8

Choice-B

This is lower than the correct value, so it’s incorrect

Wrong \$550.01 cm^2\$

9

Choice-C

This is also lower than the correct value, so it’s incorrect

Wrong \$551 cm^2\$

10

Choice-D

This is higher than the correct value, so it’s incorrect

Wrong \$552.14 cm^2\$

11

Answer

Option

A

12

Sumup

Please summarize choices