Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft Let the height be h By Pythagorean theorem 10^2 = 3^2 + h^2 h^2 = 10^2 - 3^2 = 100 - 9 = 91 h = sqrt( 91) = 9.54 ft
We have that the Volume of cone=(1/3)*B*h B=the area of the base h= the height of the cone D=3.5 in-----------------> r=D/2=1.75 in h=5 in B=pi*r²---------> 3.14*1.75²=9.616 in² V=(1/3)*9.616*5=48.08 in³--------> 48 in³
