h , 13 and 10 are forming 3 sides of a right angled triangle Hence by Pythagoras theorem (h^2)+(10^2)=13^2 h^2=(13^2)-(10^2) h^2=169-100 h^2=69 h=+8.31 or -8.31 h=8.31 units (since is a side of a solid figure)
Volume =(1/3) x π x r2 x h =(1/3) x π x (10^2) x 8.31 =870.22 units