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IceJOKER [234]
3 years ago
7

Eric is planning to paint the four pillars that are attached to the front of his house. But, he needs to know how many square fe

et he'll be painting before he buys the paint. The pillars are each 10 feet tall and have a 1-foot diameter.
Mathematics
2 answers:
mariarad [96]3 years ago
6 0
Assume that the pillars are cylindrical..you're looking for the lateral surface area correct? to get the lateral surface area, you use the formula LSA = 2rh(pi) where r is radius h is height substitute the values... h = 10 d = 1 so r =1/2 so LSA = 2 (1/2)(10)(3.14) LSA = 10(3.14) LSA = 31.4 sq ft :D                                      Can You Mark Me Brainlest Plz...
Amiraneli [1.4K]3 years ago
3 0

Answer: He will be painting 125.6 square feet before he buys the paint.

Step-by-step explanation:

Since we have given that

Diameter of pillar = 1 foot

Radius of pillar = 0.5 feet

Height of pillar = 10 feet

Since there are 4 pillars.

We need to paint the 4 pillars.

So, for this we want surface area of each pillar.

As we know the "Lateral surface area of cylinder":

Area=2\pi rh\\\\Area=2\times 3.14\times 0.5\times 10\\\\Area=31.4\ sq.feet

Area of 4 pillars would be

4\times 31.4\\\\=125.6\ sq.feet

Hence, He will be painting 125.6 square feet before he buys the paint.

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3 years ago
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Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally in
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The amount of blue paint in each container is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Further explanation:

The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint is calculated as,

{3} \times {1.24}=3.72 \text { liters}

Therefore, the total amount of paint mixture is the sum of blue paint and red paint.

\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is \dfrac{3}{4}.  

Now, as it is known that the fraction of blue paint to the total paint is \dfrac{3}{4} and the amount of paint in a container is 0.992 \text{ liters} then the blue paint in one container is calculated as,

\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}

Thus, the amount of blue paint in each of the five containers is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

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Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

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Step-by-step explanation:

i) A subset is a set which has all its elements contained in another set.

For two sets A and B, if each element of set A is an element of set B, then A is a subset of B.

A superset is a set that houses another set. So if set A is a subset of set B, then B is a superset of A.

Proper subset

For a set (A) to be a proper subset of another (B) every element of A would be in B but there exists at least one element in B that is not in A.

An Empty Set (or Null Set) doesn't have aren't any elements in it. It is empty.

Since every element of the superset is in the superset. Therefore, A superset contains all the subset of superset.

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+√⅓ = +(1/1.7321)

+√⅓ = +0.577

Therefore Positive square root of 1/3 is 0.577 (A)

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