A toy is in the form of a cone mounted on a hemisphere of radius 3.5cm. If the total height of the toy is 15.5cm, find its total surface area.(use =22/7)
Answers
Answer:
Step-by-step explanation:
rad.of cone =rad.of hemisphere=3.5 cm (given)
Also,
ht of toy=15.5 cm (given)
ht of hemisphere=3.5 cm
ht of cone=15.5-3.5
=12cm
slant ht. of cone=under root h^2+r^2
=under root (12^2+3.5^2)
=under root 144+12.25
=under root 156.25
= 12.5 cm
CSA oc hemisphere=2×22/7×(3.5)^2
=77 cm^2
CSA of cone=22/7×3.5×12.5
=137.5 cm^2
TSA of toy=CSA of hemisphere+CSA of cone
=77+137.5
=214.5cm^2
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Answer:
Step-by-step explanation:
r=3.5 cm
h of cone =15.5-3.5=12cm
l^2=h^2+r^2
=12^2+3.5^2
=144+12.25
l^2=156.25
l=12.5
tsa of solid =csa of cone+csa of hemisphere
=pi*r*l+2*pi*r^2
=22/7*3.5*12.5+2*22/7*3.5*3.5
=22*0.5*12.5+44*0.5*3.5
=96.25+77
=173.25