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2 years ago

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A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea

ch of the cake layers has a volume of approximately 1,250 cm3, then how many layers does the cake have?

1 answer:

gizmo_the_mogwai [7]2 years ago

5 0

Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

$V=\pi r^{2} h$

$1250=3.14\times(10)^{2}\times h$

$1250=314 h$

$h=\frac{1250}{314}$

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are $\frac{20}{4}=5$ layers in the cake.

Answer: There are 5 layers in the cake.

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Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

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Explanation:

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Chandra created a budget matrix based on her regular and expected expenses for the year. Expense Jan. Feb. Mar. Apr. May June Ju

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Answer:

Chandra's Average Monthly Expenses are;

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2) For the remaining 10 months each are $244

Step-by-step explanation:

From Chandra's matrix all monthly expenses are all same that is,

Cell phone $71, Rent $1,025, Gym $75, Internet $25, Auto insurance $425, Gas $ 120, Food $145. which are all the expenses carried out every month for 12 months.

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February = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

March = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

April = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

May = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

June = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

July= $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

August = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

September = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

October = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

November = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

December = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

Therefore Chandra's Average Monthly Expenses are:

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2) For the remaining 10 month are = $\frac{71 + 1,025 + 75 + 25 + 120 + 145}{6}$ = $\frac{1461}{6}$ = 243.5 to the nearest cent

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