the sufance area of a cone is pi r (r+sqrt(h^2+r^2)) BOTTOM LEFT
in our question we know that the height is 4 and because it is a right angle triangle using pythagorean theorm we get 4^2+b^2=5^2 16+b^2=25 b^2=9 b=3
plug into our formula pi (3)(3+sqrt(4^2+3^2)) and we get 75.4
the volume is pi r^2 * height/3 pi (3)^2 (4/3) = 37.7
As for the picture on the bottom right
the height assuming that the inside is a right angle triangle is 12 because of pythagorean theorm you are correct good job :)
now we use the same formula as above pi r (r+sqrt(h^2+r^2)) and plug in pi(5)(5+sqrt(12^2+5^2)) and get 282.74
314.16 is the volume since we use the same formula as above pi r^2 * height/3 and plugin in pi 5^2 *12/3 which is pi*25*4
now for the top right
volume is base *height which is v=wlh the height is 8 length is 4 and volume is 64
2=w the width is 2 cm
As for the top left
base * height and we know that the base is 125 so
the height is 4 for the prism
hope this helps
Thank you so much for your help.
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