Question

find,in terms of pie,the curved surface area of a cone with circular base diameter 10cm and height 12cm​

Answer 1

Answer: 65π

Step-by-step explanation:

you can draw the cone to make it easier for you to understand.

to find the curved surface area of a cone, you multiply the base radius of the cone by pie. Then multiply your answer by the length of the side of the cone.

to do this you need the length of the side and the radius of the cone.

to find radius, divide the diameter by 2.

`(10)/(2)` = 5

then use the right angle triangle in the cone to find the length of the side

use Pythagoras theorem which states that a² + b²= c²

a= 5, b= 12, c= x (length of side)

∴
`x^(2) 5^(2) + 12^2 =x^(2) \\25 + 144 = x^(2) \\169= x^(2) \\x=√(169) \\x= 13`

no that you have found the length

multiply the base radius by pie

which is:

5 ×π = 5π

then multiply this by the length of the side

5π × 13 = 65π

there you go!

hope it helps!