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3 years ago

& A bowl made in the shape of a hemisphere has diameter of 12 centimeters. When the bowl is

Mathematics

1 answer:

son4ous [18]3 years ago

6 0

Answer:

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(2/3) X (6^3) X 3.14 = 452.16 cm^3

1 cm = 1 gram

452.16g

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Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid

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Answer: h(h-3)(h+4)

Step-by-step explanation:

To find the volume of rectangular-shaped box we will have to multiply the length by the width by the height.

Given the statements we can determine the length with the equation

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the width can also be represent by the equation

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3 years ago

Takumi started studying how the number of branches on his tree changes over time.

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Answer:

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Step-by-step explanation:

The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:

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For illustration, let us take the growth for the first three years after he started studying the number of branches.

$When \:t=1, N(1) = 63. 2^1=126\\When \:t=2, N(2) = 63. 2^2=252\\When \:t=3, N(3) = 63. 2^3=504\\504\div 252=252\div 126=2$

We notice that for each subsequent year, the number of branches doubles.

Therefore:

Every year, the number of branches <u>grows</u> by a factor of <u>2.</u>

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4 years ago

Renee is in charge of the school carnival for 380 students. She has 47 boxes of prizes. Each box has 22 prizes. She wants to mak

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47 times 22 = 1034

1034/2 = 517

380 is less than 517 so Renee has more than enough for each student.

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