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2 years ago

Calculate the curved surface area of a cylindrical drum whose dimensions are diameter 5cm, height 30cm

Mathematics

1 answer:

emmasim [6.3K]2 years ago

7 0

Answer:

150 $cm^{2}$

Step-by-step explanation:

Curved surface area of a cylinder = 2 $\pi rh$

Radius= $\frac{5}{2}\\$ cm

Height= $30$ cm

Curved surface area of a cylinder= $2\pi rh$

= 2 x $\frac{5}{2}$ x 30

= 150 $cm^{2}$

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22. Find the perimeter and area.

zmey [24]

Answer:

Part 22) The area is $A=15a^3b^6\ units^2($ and the perimeter is $P=10a^2b^4+6ab^2\ unit$

Part 24) The area is $A=16m^3n\ units^2$ and the perimeter is $P=24mn\ units$

Part 26) The area is equal to $A=9\pi x^6y^{2}\ units^2$

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

$A=LW$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

$A=(5(a^2)(b^4))(3(a)(b^2))$

$A=15a^3b^6\ units^2$

step 2

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

substitute in the formula

$P=2(5(a^2)(b^4)+3(a)(b^2))$

$P=10a^2b^4+6ab^2\ unit$

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

$A=\frac{1}{2}bh$

where

$b=8mn\ units$

$h=4m^2\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

$A=\frac{1}{2}(8mn)(4m^2)$

$A=16m^3n\ units^2$

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

$P=3b$

where

$b=8mn\ units$

substitute

$P=3(8mn)$

$P=24mn\ units$

Part 26) Find the area

The area of a circle is equal to

$A=\pi r^{2}$

where

$r=3x^3y\ units$

Remember the property

$(a^{m})^{n}=a^{m*n}$

substitute in the formula the given value

$A=\pi (3x^3y)^{2}$

$A=9\pi x^6y^{2}\ units^2$

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2 years ago

Georgia bought pears for $6.14. The price of pears is $1.10 per pound. How many pound of pears did she buy? (Round your answer t

yuradex [85]

Answer:

5.58

Step-by-step explanation:

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2 years ago

50 POINTSS!!!!- The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement o

olga_2 [115]

Answer:

the first option

Step-by-step explanation:

solution:

distance: d=1/4 lc (because is a quarter of a circle)

length of the circumference: lc=2 pi r

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radius of the circle: r=80 feet

replacing pi and r in the formula of lc:

lc=2 pi r

lc=2 (3.14) (80 feet)

lc=502.4 feet

replacing lc in the formula of d:

d=1/4 lc

d=1/4 (502.4 feet)

d=502.4/4 feet

d=125.6 feet

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2 years ago

Read 2 more answers

Calculate the value of the exterior angle

aev [14]

What we know is that the sum of a triangle's internal angles are 180º, and a straight angle makes 180º.

first, we have to find the third internal angle(let's call it n) so that we can use it to find the exterior angle.

(3x + 20) + (4x + 5) + n = 180

simplify:

7x + 25 + n = 180

7x + n = 155

n = 155 - 7x

Now we can add it to the external angle to find x.

(155 - 7x) + (8x + 15) = 180

simplify:

170 + 8x - 7x = 180

170 + x = 180

x = 10

Now we can substitute it to the external angle.

8 x 10 + 15 = 95

the exterior angle is 95º.

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3 years ago

An airplane is preparing to land at an airport. It is 50400 feet above the ground and is descending at the rate of 3000 feet per

Dovator [93]

Answer:

let t = no of minutes when they are at the same altitude

52200 - 3300t = 2500t

52200 = 3300t + 2500t

52200 = 5800t

t = 52200/5800

t = 9 minutes they will be at the same altitude

The altitude:

9*2500 = 22500 ft

Check on other train

52200 - 9(3300) =

52200 - 29700 = 22500 ft

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2 years ago

Calculate the curved surface area of a cylindrical drum whose dimensions are diameter 5cm, height 30cm​

Calculate the curved surface area of a cylindrical drum whose dimensions are diameter 5cm, height 30cm