Please help me with this answer

1 answer:

8 0

Peter bought 8 maple donuts

If there are 25 fewer maple than chocolate, then we know there are at least 25 chocolate donuts. if we subtract those 25 chocolate from the total of 41, we have 16 left. with the 25 chocolate donuts taken out, the number of maple and chocolate donuts in the remaining 16 are the same, meaning there are 8 of each. Since the 25 we subtracted earlier were all the chocolate, there were 33 chocolate and 8 maple. Therefore, Peter bought 8 maple donuts.

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$\huge\boxed{\sf Volume = 384 \ cm^3}$

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<u>Finding the Height using Pythagorean Theorem:</u>

$\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm$

$\rule[225]{225}{2}$

<u>Now, Finding the volume:</u>

$\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}$