the height of a glass tumbler is 12 cm. the radius of its circular base is 3 cm and that of rim is 4cm.the volume of tumbler​

Dear student
The glass is in shape of frustum .Given: height of glassh=12 cmradius,R=3 cmradius ,r=4 cmWe know that Volume of frustum=πh3R2+r2+Rr=227×13×1232+42+3×4=8879+16+12=32567 cm3=465.14 cm3
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tumbler is in the shape of frustum.
h = 12 cm
r1 = 3 cm
r2 = 4 cm
                                                                 
volume of frustum =  22/7*h/3 ( r12 + r22 + r1r2)
                               =  22/7* 12/3 ( 3*3 + 4*4 + 3*4)
                               =  22/7*4 ( 9 + 16 + 12)
                               =  88/7 *(37)
                               =   465.142 cm3                              

 
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