a cone with a height of 11 and slant height of 13 find the radius surface area and and volume

Question

I NEED HELP ON MY MATH HOMEWORK NOW

Answer 1

Radius^2=13^2-11^2=2*24=48, so radius=√48=4√3=6.928 approx.

Surface area= πr^2 (base) + πrs=48π+13*4√3π=(48+52√3)π=433.75 sq units approx.

Volume=(1/3)πr^2h=(1/3)48*11π=176π=552.92 cu units approx.

Answer 2

a^2 + b^2 = c^2. a = 11, c = 13. Solving for b you get a radius 6.9. To solve for surface area you use this formula: A = π r ( r + √((11^2) +(13^2))). You get A = 431.05. To solve for volume the formula is simple:                     V = π r^2 (h/3). When you solve it you will get V = 548.43.