A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm.and its volume is 3/2 of the hemisphere.Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal.
Answers
Answered by
73
Given r = 7cm and
volume of the cone = 3/2 volume of the hemisphere
1/3 πr^2h = 3/2×2/3πr^3
.°. h=3r
=3×7=21cm
surface area of the toy=C.S.A.of the cone + C.S.A.of hemisphere
Cone :
Radius (r) = 7cm
Height (h) =21cm.
slant height (L)= √r^2+h^2
=22.135 cm.
.°. C.S.A.= πrl
= 22/7×7×22.135= 486.990 cm^2
Hemisphere :
Radius (r) = 7cm
C.S.A. = 2πr^2=2×22/7×7×7
=308 cm^2
.°. C.S.A of the toy = 486.990 + 308
☛ 794.990 cm^2
Attachments:
Anonymous:
Nice
Similar questions