the diameter of the hemisphere is equal to the side of the cube. Determine
the total surface area of the remaining solid.
8. A wooden article was made by scooping out a hemiphere from each end of
a solid cylinder, as shown in the figure. If the height of the cylinder is 10 cm.
and its radius of the base is of 3.5 cm, find the total surface area of the
article.
Answers
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Answer:
Step-by-step explanation:
1st question
radius of hemisphere=d/2
let side of cube be=l
so radius(r)=l/2
surface area of the remaining solid = TSA of cube + CSA of hemisphere - area of base
surface area of the remaining solids =6l²+2π(l/2)²-π(l/2)²
surface area of the remaining solids=6l²+π(l/2)²
surface area of the remaining solids=l²{6+π/4}
surface area of the remaining solids=6.8l²unit²
question 2
radius(r)=3.5=7/2cm
height of cylinder(h)=10cm
SA of article= CSA of cylinder+2(CSA of hemisphere)
=2πrh+2(2πr²)
=2πr(h+2r)
= 2×22/7×7/2{10+7}
= 22{17}
= 374cm²
so the TSA of article is 374cm²