Question

The given figure consists of a cylindrical base surmounted by a conical roof. Radius of the cone and cylinder are same 6cm. Find the volume of the given figure given height of the cylinder is 14cm. Height of the cone is 7cm​

Answer 1

Answer:

Volume of Figure = 1848 cm^2

Step-by-step explanation:

In cylinder,

--Radius of cylinder = 6cm

--Height of cylinder = 14cm

--Volume of cylinder = π$r^{2}h$

                                  = $\frac{22}{7} . (6^{2}) . 14 \\22 . 36. 2 \\1584 cm^{2}$

In cone,

--Radius of cone = 6cm

--Height of cone = 7cm

-- Volume of cone = $\frac{1}{3}$π$r^{2} h$

                              = $\frac{1}{3}.\frac{22}{7}.6^{2}.7 \\\frac{1}{3}.\frac{22}{7}.6.6.7 \\22 * 12 \\ 264 cm^{2}$

Total Volume = Volume of cone + Volume of Cylinder

                       =  1584 cm^2 + 264 cm^2

                       = 1848 cm^2