5).
A = 3 \sqrt3 3 a2
a2 = A 3 \frac{A}{\sqrt3} 3 A
a2 = 110.85 3 \frac{110.85}{\sqrt3} 3 110.85
a = 7.99995m
a = 8m
6).
Area of right circular cylinder is A = 2 π r h A= 2\pi r h A = 2 π r h and volume is V = π r 2 h V= \pi r^2 h V = π r 2 h . Thus we have
2 π r h = 90 r h = 45 π . . . . . . E q [ 1 ] r 2 h = 225 π . . . . . . . E q [ 2 ] 2\pi rh= 90 \\
rh =\cfrac{45}{\pi}......Eq[1]\\
r^2 h=\cfrac{225}{\pi}.......Eq[2] 2 π r h = 90 r h = π 45 ...... Eq [ 1 ] r 2 h = π 225 ....... Eq [ 2 ] Now dividing Eq[2] by Eq[1]...
r = 225 45 r = 5 c m . . . . . A n s r=\cfrac{225}{45}\\
r= 5cm.....Ans r = 45 225 r = 5 c m ..... A n s radius of right circular cylinder is 5 cm.
7).
h = 300 m m r = 100 m m L a t e r a l a r e a o f c y l i n d e r = 2 π r h = 2 × 3.14 × 100 × 300 = 188520 m m 2 h = 300\; mm \\
r = 100 \;mm \\
Lateral \;area\; of \;cylinder = 2πrh \\
= 2 \times 3.14 \times 100 \times 300 \\
= 188520 \; mm^2 h = 300 mm r = 100 mm L a t er a l a re a o f cy l in d er = 2 π r h = 2 × 3.14 × 100 × 300 = 188520 m m 2
Answer: 188520 mm2
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