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Marat540 [252]
2 years ago
10

Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengt

hs of 2.4 feet and a height of 3.4 feet. Find the percentage of the amount of paint she would use to paint all but the bottom surface of the prism to the amount she would use to paint the entire prism. Round to the nearest tenth.
Mathematics
1 answer:
grin007 [14]2 years ago
4 0
What do you think is the first step

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ANTONII [103]

Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

<u>Solution:</u>

Given that  

A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches

Need to find the relationship between volume of cylinder and cone.

Let’s calculate volume of each object separately first.

<em><u>Calculation of volume of cylinder :</u></em>

Formula of volume of cylinder is given as:

V_{c y}=\pi r^{2} h

Where π=3.14

\text { radius } r=\frac{\text {diameter}}{2}=\frac{10}{2}=5 \text { inches }

height h = 12 inches  

On substituting given values in formula of cylinder we get

\begin{array}{l}{V_{c y}=3.14 \times 5^{2} \times 12=942 \text { cubic inches }} \\\\ {\text { Volume of cylinder }=V_{c y}=942 \text { cubic inches }}\end{array}

<em><u>Calculation of volume of cone:</u></em>

Formula of volume of cone is given as:

V_{c o}=\frac{\pi r^{2} h}{3}

Here π=3.14

\begin{array}{l}{\text { radius } r=\frac{\text { diameter }}{2}=\frac{10}{2}=5 \text { inches }} \\\\ {\text { height } \mathrm{h}=12 \text { inches }}\end{array}

On substituting given values in formula of cone we get

V_{c o}=\frac{3.14 \times 5^{2} \times 12}{3}=314 \text { cubic inches }

\text { Volume of cone }=V_{c o}=314 \text { cubic inches }

On comparing the two volumes we get  

V c y: V c o=942: 314=3: 1

Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

8 0
2 years ago
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