Question

A Toy is in the form of a hemisphere surmounted on a cylinder of height 10cm as shown in the figure. If the radius of the cylinder is 3.5cm find the volume of the toy.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

volume of the toy = 474.84 $cm^{3}$

Step-by-step explanation:

Given A toy is in form of a hemisphere surmounted on cylinder

Height of the cylinder h =  10 cm

radios of the cylinder r =  3.5 cm

radios of the cylinder will be the radios of the hemisphere

⇒ volume of the toy = volume of hemisphere + volume of cylinder

⇒ volume of the hemisphere  =  $\frac{2}{3} \pi r^{3}$  

                                              =  $\frac{2}{3} (\frac{22}{7} )( 3.5) (3.5)(3.5)$

                                              = $\frac{22}{3} (3.5)(3.5)$

                                              = $\frac{269.5}{3}$      

                                              = 89.84 $cm^{3}$

 ⇒ volume of the cylinder =  $\pi r^{2}h$        

                                         = $\frac{22}{7} (3.5)(3.5)(10)$

                                         = 11(3.5)(10)

                                         = 385 $cm^{3}$

            ∴ total volume of the toy =   89.84 + 385

                                                       = 474.84 $cm^{3}$