Question

Volume of a cone: V = 1/3 r2 h

Lateral Surface area of cone: A = r s, where s= slant height.

Find the lateral surface area of a cone whose base is a circle with a 5 cm radius and whose altitude is 10 cm.

Lateral Surface area (to the nearest cm2) = ____ cm2.

A) 262
B) 176
C) 157

Answer 1

B176 is the lateral serface because its latARAL

Answer 2

Answer: B) 176

Explanation:

Given: The radius of the base of circle of cone (r)= 5 cm

The altitude of the cone (h)= 10 cm

Now, the lateral surface area of the cone is given by :-

`L.A.=\pi rl\\\\\Rightarrow\ L.A.=(3.14)(5)(√(r^2+h^2))\\\\\Rightarrow\ L.A.=(3.14)(5)(√(5^2+10^2))\\\\\Rightarrow\ L.A.=(3.14)(5)(√(125))\\\\\Rightarrow\ L.A.=175.531336234\approx176\ inches^2`

Hence, the Lateral Surface area (to the nearest
`cm^2`) =
`176\ in.^2`