A hemisphere of radius 3 cm is mounted on cylinder of same radius and 10 cm height. Find volume and surface area of the shape.
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Answer:
150.85cm³
Step-by-step explanation:
ANSWER
Cone:
r=3cm
l=10cm
hemisphere:
r=3cm
Total surface area of toy=Total surface area of cone+Total surface area of hemisphere
=πr(l+r)+3πr²
=22/7×3(10+3)+3×22/7×3×3
=22/7×3(13)+3×22/7×9
=22/7×39+3×22/7×9
=858/7+594/7
=1452/7
=207.42 cm² (approx)
Volume of toy=Volume of cone+Volume of hemisphere
= πr²(h/3) + (2 / 3) π r3
= 22/7×3×3×10/3 + 2/3×22/7×3×3×3
=660/7 + 396/7
=1056/7
=150.85 cm3 (approx)
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