All categories

3 years ago

Which case would be the most appropriate

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

Case (c) will be the most appropriate for a drum with a volume of 14,000 cm³

Step-by-step explanation:

The drum is in the shape of cylinder so, we will calculated its volume using formula :<u> V = πr²h</u> , where r is radius of cylinder and h is height of cylinder.

In case (a) Given height is 300mm ( 30 cm ) and diameter is 200mm ( 20 cm )

so, radius ( r ) is calculated as d/2

r = 20/2

r = 10 cm

so, volume is V = πr²h = (3.14)*(10)²*30 = 9420 cm³

In case (b) Given height is 30 cm and diameter is 400mm ( 40 cm )

so, radius ( r ) is calculated as d/2

r = 40/2

r = 20 cm

so, volume is V = πr²h = (3.14)*(20)²*30 = 37680 cm³

In case (c) Given height is 250mm ( 25 cm ) and diameter is 32 cm

so, radius ( r ) is calculated as d/2

r = 32/2

r = 16 cm

so, volume is V = πr²h = (3.14)*(16)²*25 = 20096 cm³

Hence, the case (c) will be the most appropriate for a drum with a volume of 14,000 cm³

You might be interested in

The sum of three consecutive odd numbers is one hundred and eleven. what is the smallest of the three numbers?

Firdavs [7]

35,37,39
111 divided by 3 is 37...so that is the middle number. Two below it is 35 and 2 above it is 39 and all three would add up to 111. So 35 is the lowest.

8 0

2 years ago

You spin the spinner shown below once. Each sector shown has an equal area.

a_sh-v [17]

Answer: P(not shaded sector) = 0.50

Step-by-step explanation:

Since we have given that

Number of shaded parts = 6

Number of unshaded parts = 6

Total parts = 6+6 = 12

So, Probability of getting not shaded sector is given by

$\dfrac{6}{12}\\\\=\dfrac{1}{2}\\\\=0.50$

Hence, P(not shaded sector) = 0.50

8 0

3 years ago

Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)

arlik [135]

Answer:

y = $\frac{4}{3}$ x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{3}{4}$ x ← is in slope- intercept form

with slope m = - $\frac{3}{4}$ , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{3}{4} }$ = $\frac{4}{3}$ , then

y = $\frac{4}{3}$ x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = $\frac{4}{3}$ x - 12 ← equation of perpendicular line

4 0

2 years ago

How to solve 0.225555555555 into a fraction mental math strategy

Naddika [18.5K]

Answer:

Convert to a decimal by dividing the numerator by the denominator.

4.43349753 just easy

6 0

3 years ago

Max bought 4 liters of fruit punch for a party.he will serve the punch in glasses that will hold 200 milliliters.how many full g

ss7ja [257]

Hello!
.
1 liter is equal to 1000 milliliter.
So,
4 L = 4000 mL
.
Max bought 4 liter or 4000 mL of fruit punch. To know how many glasses full of fruit punch can he serve, you just need to divide the amount of fruit punch he bought by the amount of fruit punch a glass can hold.
4 L / 200 mL
The dividend and the divisor have different unit so we must make them have the same unit.
4000 mL / 200 mL
= 20
.
Therefore, Max can make 20 full glasses of fruit punch for the party.
:)

6 0

3 years ago

Read 2 more answers