A wooden toy is in the form of a cone mounted on a hemisphere. The diameter of the base of the cone is $6 ext{ cm}$ and its height is $4 ext{ cm}$. Find the total surface area of the toy. (Use $\pi

Q: A wooden toy is in the form of a cone mounted on a hemisphere. The diameter of the base of the cone is $6\text{ cm}$ and its height is $4\text{ cm}$. Find the total surface area of the toy. (Use $\pi

Given data: Diameter of the cone's base ($d$) = $6\text{ cm}$ Radius of the cone and hemisphere ($r$) = $\frac{d}{2} = \frac{6}{2} = 3\text{ cm}$ Height of the cone ($h$) = $4\text{ cm}$ Value of $\pi = 3.14$ \nStep 1: Find the slant height ($l$) of the cone.\nThe formula for slant height is: $$l =

Question

A wooden toy is in the form of a cone mounted on a hemisphere. The diameter of the base of the cone is $6	ext{ cm}$ and its height is $4	ext{ cm}$. Find the total surface area of the toy. (Use $\pi

Accepted Answer

Given data: Diameter of the cone's base ($d$) = $6	ext{ cm}$ Radius of the cone and hemisphere ($r$) = $\frac{d}{2} = \frac{6}{2} = 3	ext{ cm}$ Height of the cone ($h$) = $4	ext{ cm}$ Value of $\pi = 3.14$ 
Step 1: Find the slant height ($l$) of the cone.
The formula for slant height is: $$l =

Surface Areas and Volumes