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Answers
10answer).
r=70cm, r=0.7m
h=1.5m
v=πr²h
=22\7×7\10×7\10×15\10
=20×105\1000
=2310\1000
=2.31m³
1m³=1000litre
2.31m³=?
=2.31×1000
=2310litre
11answer).
r=3x
slant height=5x
curved surface area=πrl
423.9=314\100×3x×5x
4239×1000\314×10=15x²
13.5=15x²
x²=135\15
x²=9
x=3
radius=3x=3×3=9cm
slant height=5x=5×3=15cm
l²=r²+h²
(15)²=(9)²+h²
h²=225-81
h²=144
h=12cm
v=1\3πr²h
=1\3×314\100×9×9×12
=314×27×12\100
=101736\100
=1017.36
4answer).
inner diameter=10cm,r=5cm
thickness=5mm
outer radius=thickness+inner radius
=5\10+5
=0.5+5
=5.5
Density =891cm³
volume of cylinder=πr²h
=22\7((outer radius)²-(inner radius)²)×70
=22\7((5.5)²-(5)²)×70
=22(10.5)×0.5×10
=22(10.5)×5
=110×10.5
=1155cm³
total mass=8×1155
=9240gram
5answer).
volume of cylinder=volume of cuboid
πr²h=l×b×h
22\7×14×14×h=22×16×7
h=18×7\2×14
h=8\2
h=4cm
6answer).
Total surface area=3696cm²
curved surface area=2310cm²
r\l=?
total surface area=curved surface area+πr²
3696=2310+22\7r²
1386=23\7r²
1386×7\22=r²
r²=63×7
r²=7×9×7
r=√7×7×9
r=7×3
r=21
curved surface area=πrl
2310=22\7×21×l
770\22=l
l=35
ratio=21\35=3\5
7answer).
curved surface area of cone=πrl
l=√h²+r²
=√20²+21²
=400+441
=29
πrl
=22\7×21×29
=1914m²
total cost=5×1914
=9570
8answer).
l=30cm
b=25cm
h=?
volume=?
total surface area=2 lateral surface area
2(lb+bh+hl)=2[2h(l+b)]
2(30×25+25×h+h×30)=2h(59)
750+25h+30h=2h(59)
750+55h=110h
750=110h-55h
h=750\55
h=150\11cm
volume=l×b×h
=30×25×150\11
=750×150\11
=112500\11cm³
12answer).
d=84cm
r=42cm
h=120cm
curved surface area=2πrh
=2×22\7×42×120
=31680cm²
1m²=10000cm²
?=31680cm²
=31680\10000m²
for 500 revolution=3.168×500
=1584m²
hope it is helpful...
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