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Montano1993 [528]
2 years ago
11

Select the choice that has the correct area and perimeter for the figure .

Mathematics
1 answer:
laila [671]2 years ago
8 0

Answer: B

Step-by-step explanation:

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Step-by-step explanation:

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2) A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone.Th
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<span>You have:
 
 - The diameter of the cylinder is 12 inches and its height is 14 inches.
 -The height of the cone is 6 inches.
 
 So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone. 
 
 V1=</span>πr²h
 <span>  
 V1 is the volume of the cylinder.
 r is the radius.
 h is the height (h=14 inches)
 
 The problem gives you the diameter, but you need the radius, so you have:
 
 r=D/2
 r=12 inches/2
 r=6 inches
 
 When you substitute the values into the formula, you obtain:
 
 V1==</span>πr²h
 V1=(3.14)(6 inches)²(14 inches)
 V1=1582.56 inches³<span>
 
 The volume of the cone is:
 
 V2=(</span>πr²h)/3
<span> 
 V2 is the volume of the cone.
 r is the radius (r=6 inches)
 h is the height of the cone (h=6 inches).
 
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</span> 
 V2=(πr²h)/3
 V2=(3.14)(6 inches)²(6 inches)/3
 V2=226.08 inches³
<span> 
 Therefore, </span>the volume of the cake<span> (Vt) is:
 
 Vt=V1+V2
 Vt=</span>1582.56 inches³+226.08 inches³
<span> Vt=1808.6 inches</span>³
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