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Brut [27]
3 years ago
6

Caitlin has cut out a square piece of graph paper that contains a total of 81 blocks.How many blocks are there along one side of

the square? Look at the bottom of the page (Number 25)

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer:

9 squares on each side of the square.

Step-by-step explanation:

\sqrt{81}=\sqrt{9\times 9}=\sqrt{9^2}=9

There are 9 equally sized blocks on one side of square piece of graph paper.

Best Regards!

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Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

<u>Volume formula of Sphere</u>

V = \frac{4}{3} \pi r^2

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\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi  = 4.189 = Volume

<u>Finding the Height of a Cone</u>

Volume formula for Cone: V = \pi r^2\frac{h}{3}

<u />

<u>Solve for </u><u><em>h</em></u>

Multiply both sides by 3, then divide by pi and r^2.

h = \frac{3V}{\pi r^2}

<u>Plug in the volume and the radius.</u>

h = \frac{3(4.189)}{\pi (1)^2}

<u>Simplify</u>

h = \frac{12.567}{\pi }

h ≈ 4

<u>4 is approximately the height.</u>

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x acres ------ 8%

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