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The PCTM Puzzle of the Week - Solutions










 Name: Lord Blackadder (Mrs Tina Cook sent me!)
Grade: Too old to grade!
School: University of Life, England

Head is 18"
Middle section is 3H/2 = 27"
Bottom section is 4M/3 = 36"

Height of Snowman is 18 + 27 + 36 = 81"

Volume of sphere = (4/3) * pi * ( r ^ 3)

Volumes to nearest cubic inch

Vol Head = (4/3) * pi * ( 9 ^ 3) = 3054
Vol Middle = (4/3) * pi * ( 13.5 ^ 3) = 10306
Vol Head = (4/3) * pi * ( 18 ^ 3) = 24429

Total Volume = 37789 cubic inches

Name: Tim Meisenhelder
Grade: 11
School: Delaware Valley High School

He's 81 inches tall, one BIG snowman.  It's volume 
is 12028.5(pi) 
inches cubed.

Name: Chris Hanusa
Grade: 12
School: Taylor Allderdice High School

A = (4/3)pi*r^3
d = 2r

d(top) = 18" => r(top) = 9"  
d(mid) = 18*3/2 = 27" => r(mid) = 13.5"
d(bot) = 27*4/3 = 36" => r(bot) = 18" 

Height = 18+27+36 = 81" = 6'9"

Volume = (4/3)pi*(9^3+13.5^3+18^3) = 12028.5(pi) 
in^3
       = approx. 37788.6 in^3
       = approx. 21.87   ft^3

:*}

Name: Dennis Egan
Grade: 8
School: PVMS

The answer is none because the sun came out and 
melted the snowman! Just kidding!! The real answer 
is 37,769 cubic inches. Hey at least I tried.

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