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3 years ago

A closed cylindrical tank of radius 1.50m and height 300cm, is made from a metal sheet. How much sheet is required?

Mathematics

1 answer:

Anika [276]3 years ago

4 0

Answer: 13.5π≈42.41

Step-by-step explanation:

Basically it is asking for the circumference of this cylinder.

#1 Find the circumference of the circle base

Formula to use: 2πr

2πr=2π(1.5)=3π

---------------------------

#2 Find the area of the circle base

Formula to use: πr²

πr²=π(1.5)²=2.25π

--------------------------

#3 Find the area of body of the cylinder

Formula to use: lw

300cm=3m

l (length)= 3π (since the body of the cylinder the basing on the circumference of the circle base)

w (width)= 3

lw=3π×3m=9π

----------------------------

#4 Add all of them together

There are 2 base and one body

2.25π×2+9π=13.5π

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3 years ago

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The coordinates of the pentagon are given as:

$T = (1, 8)$

$E =(3, 8)$

$X =(6, 2)$

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$S = (1, 4)$

The area of the pentagon is then calculated using:

$Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|$

So, we have:

$Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|$

Simplify the expressions in both brackets

$Area = \frac 12|46 -84|$

$Area = \frac 12|-38|$

Remove absolute bracket

$Area = \frac 12 \times 38$

$Area = 19$

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brainly.com/question/1423568

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2 years ago

7) Find the area of the shaded region:

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

The area of the biggest rectangle =

$(9x - 2)(2x + 7) = 18 {x}^{2} + 63x - 4x - 14 = 18 {x}^{2} + 59x - 14$

The area of the of the smallest rectangle inside=

$3x(x + 12) = 3 {x }^{2} + 36x$

Then the area of the shaded region =

$18 {x}^{2} + 59x - 14 - (3 {x}^{2} + 36x) = 18 {x}^{2} + 59x - 14 - 3 {x}^{2} - 36x = 15 {x}^{2} + 23x - 14$

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