MATHEMATICS MIDDLE SCHOOL

Which container has the greatest surface area? (Use 3.14 for π .)cone
cylinder
square pyramid
rectangular prism

Answers

Answer 1

Answer:

Answer:

the cylinder container has the greatest surface area.

Step-by-step explanation:

The volume of cone is calculated by $v=(1)/(3)*\pi* r^(2)* h$

The volume of cylinder is calculated by $v=\pi* r^(2)* h$

The volume of square pyramid is calculated by $v=\pi* r^(2)* h$

The volume of rectangular prism is calculated by $v=(1)/(3)* B* h$

The radius of cone is $(6)/(3)$ = $2in$ , and slant height is 10 in.

height is calculated as h² = l²- r²

h² = l²- r²

h² = 10²- 3²

h² = 100- 9

h² =91

h= 9.54

The volume of cone is $=(1)/(3)* 3.14* 3^(2)* 9.54$

$=(1)/(3)* 3.14* 9* 9.54$

v=89.8668

The volume of cylinder is $=3.14* 3^(2)* 10$

$=3.14*9* 10$

v=282.6

The volume of square pyramid

The height of pyramid is calculated as h² = l²- r²

h² = 10²- 3²

h² = 100- 9

h² =91

h= 9.54

$v=3.14* 3^(2)* 9.54$

$v=3.14* 9* 9.54$

$v=269.60$

The volume of rectangular prism $v=(1)/(3)* 6* 10$

$v=20$

Hence, the cylinder container has the greatest surface area.

Answer 2

Answer:

Answer:

It is the Rectangular Prism.

Step-by-step explanation:

Sry, I don't have enough time to write out an explanation. Hope the answer helped!

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amy uses 2/3 of a yard of fabric for each pillow she makes. how many yards of fabric will she need in order to make 8 pillows? write the simplest form

Answers

Answer:

The amount of fabric needed for 8 pillows is $(16)/(3)$ of a yard.

Step-by-step explanation:

We are given that,

Amount of fabric Amy uses for each pillow = $(2)/(3)$ of a yard.

It is required to find the amount of fabric needed for 8 pillows.

So, we have,

The amount of fabric for 1 pillow = $(2)/(3)$

The amount of fabric for 8 pillows = $(2)/(3)* 8$ = $(16)/(3)$

Hence, the amount of fabric needed for 8 pillows is $(16)/(3)$ of a yard.

Amy will need 5 1/3 yards of fabric in order to make 8 pillows. This represents the total amount of fabric required for all 8 pillows, considering she uses 2/3 of a yard for each pillow.

To find the total amount of fabric Amy will need to make 8 pillows, we can use the concept of multiplication. Since she uses 2/3 of a yard of fabric for each pillow, we can multiply the amount of fabric required for one pillow (2/3 yard) by the number of pillows (8) to get the total amount.

Total fabric needed = (2/3) * 8

Now, perform the calculation:

Total fabric needed = 16/3 yards

To write the answer in simplest form, we can simplify the fraction:

Total fabric needed = 5 1/3 yards

Therefore, Amy will need 5 1/3 yards of fabric in order to make 8 pillows. This represents the total amount of fabric required for all 8 pillows, considering she uses 2/3 of a yard for each pillow.

To know more about multiplication:

brainly.com/question/24327271

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SHOPPING you went to the mall with $80. You spent 25% of your money on a pair of shorts and 65% of the remainder on sandals. How much did you spent on the sandals? Explain how you found your answer.

Answers

The amount spends on sandals is $39.

What is percent?

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given total amount = $80

money spent on shorts = 25% of total

money spent on shorts = 25% of 80

money spent on shorts = 25/100 x 80

money spent on shorts = 2000/100

money spent on shorts = $20

amount left = $80 - $20 = $60

spend on sandals = 65% of the amount left

spend on sandals = 65% x 60

spend on sandals = 65/100 x60

spend on sandals = 3900/100

spend on sandals = $39

Hence the amount spent on sandals is $39.

Learn more about percent;

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$80*.25=$20 spent on shorts
$80-$20= $60
$60*.65=$39 spent on sandals

20 POINTS! WILL MARK BRAINIEST FOR FIRST CORRECT ANSWER! The figures in (a) and (b) below are made up of semicircles and quarter circles; The figure in (c) shows a quarter of a circle in a square. Find the area and the perimeter of each figure in terms of π.

Answers

Answer:

brainly.com/question/8182874

Step-by-step explanation:

Answer:

Area: 5π/2 in²

Perimeter: (3π+2) in

step-by-step explanation:

Area =

larger semicircle + small semicircle

= ½(pi × r1²) + ½(pi × r2²)

r1 = 2 in

r2 = 2/2 = 1 in

Area:

½(pi × 2²) + ½(pi × 1²)

= 2pi + ½pi

= 5pi/2 in²

Perimeter:

½(2pi × r1) + ½(2pi × r2) + r1

½(2pi × 2) + ½(2pi × 1) + 2

2pi + pi + 2

3pi + 2

yesterday Bethany sent 60 text messages she said that 50% of those messages were to her best friend how many text messages did Bethany send to her friend yesterday

Answers

50% of 60 is 30 so 30 messages.

30 of course its is really easy

Relationship B has a greater rate than Relationship A. The graph represents Relationship A.Which equations could represent Relationship B?

Choose all answers that are correct.
A. y = 3/4x

B. y = 0.6x

C. y = 2/3x

D. y = 1/4x

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