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MAXImum [283]
3 years ago
8

Find the lateral surface area of the figure. A 798 B 210 C 816.8 D 69.7

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
8 0

the lateral surface area of the figure is 660 sq ft

(but the answer is not matching with the options)

Step-by-step explanation: this figure is called cylinder. the lateral surface area means the area of curved surface.

here the diameter is 10 ft

so radius = diameter/2 = 10/2 ft = 5ft

again, height = 21ft

now the lateral surface area = perimeter of the circular surface X height

= 2X pie X r X h ( here r is the radius and h is height and we will take pie as 22/7)

= 2 X (22/7) X 10 X 21 sq ft

= 2 X 22 X 5 X 3 sq ft

=660 sq ft

( suggest you to recheck the options)

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How long will it take for 2 g of a sample of iodine-131, which has a half-life of about 8 days, to decay to 0.04 g?
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We know that

<span>This problem can be represented through the following equation
</span>
A = A₀(1/2)^t/h
where
A----------->  is the amount of substance left after time t
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h------------->  is the half-life-----------> 8 days

for A=0.04 g
t=?
0.04 = 2(1/2)^t/8
0.02 = (1/2)^t/8
Take ln on both sides:
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ln(0.02) = (t/8)(ln 1/2)
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the answer is 45.15 days
6 0
3 years ago
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