The slant height of a cone is 17 m. the diameter of the base is 18 m. Find the total surface area of the cone.

The given values are

h = 17 m and d = 18 m

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

⇒ \$"r" = 18/2\$
⇒ r = 9 m

Now, first calculate the lateral surface area

\$"lateral surface area" = π"rl"\$

Plug the values in the formula

⇒ \$"lateral surface area" = π times 9 times 17\$
⇒ lateral surface area = 153π

Then calculate the area of base

\$"Base area" = π("r")^2\$

Now plug the values in the formula

⇒ \$"Base area" = π(9)^2\$
⇒ Base area = 81π

Calculate the total surface area is

Total surface area = lateral surface area + base area

Now plug the values in the formula

Total surface area = 153π + 81π

After simplification

Total surface area = 234π

So, the total surface area of the cone is 234π sq.m.

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

This is correct because it accurately represents the calculated total surface area of the cone

234π sq.m

This is incorrect because it does not accurately represents the calculated total surface area of the cone

243π sq.m

This is incorrect because it does not include the factor of π in the answer

234 sq.m

This is incorrect because it does not include the factor of π in the answer

243 sq.m

Option

A

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