Question

the lower part of a toy is right circular cylindrical and its upper part is conical diameter of its base is 8 cm and height of cylindrical part is 5 cm if the total height of the toy is 8 cm find the area of the curved surface and its volume take
$\pi = 3.14$

Answer 1

Therefore the the area of curved surface is=188.4 cm²

The volume of the toy is = 301.44 cm³

Step-by-step explanation:

Given that the lower part of a toy is right circular cylindrical and its upper part is conical.

Given that the diameter of right circular cylinder and conic is = 8 cm

Then the radius of right circular cylinder and conic is $\frac{Diameter}{2}$

                                                                                       $=\frac{8}{2}$ cm

                                                                                        = 4 cm.

The height of the cylinder is 5 cm.

Total height of the cylinder is 8 cm

Therefore the height of conic is =(8-5)cm

                                                     =3 cm

The lateral height(l) of the cone is  $\sqrt{Radius^2+height^2}$

                                                      $=\sqrt{r^2+h^2}$

                                                      $=\sqrt{4^2+3^2}$  cm

                                                      $=\sqrt{25}$ cm

                                                      =5 cm

The surface area of the conical shape is $=\pi r l$

                                                                   $=(3.14 \times 4\times 5)$    cm²

                                                                  =62.8 cm²

The volume of the conical shape is  $=\frac{1}{3} \pi r^2 h$

                                                            $=(\frac{1}{3} \times 3.14 \times 4^2\times 3)$    cm³

                                                            =50.24    cm³

The lateral surface area of the cylindrical shape is = $2\pi rh$

                                                                    =$(2\times 3.14 \times 4\times 5)$cm²

                                                                   =125.6  cm²

The volume if the  cylindrical shape is = $\pi r^2 h$

                                                               $=(3.14\times 4^2\times 5)$ cm³

                                                               =251.2  cm³

Therefore the the area of curved surface is

=conical shape +cylindrical shape

=(62.8+125.6) cm²

=188.4 cm²

The volume of the toy is =(50.24+251.2)cm³= 301.44 cm³

Answer 2

Answer:

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Step-by-step explanation:

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