Celeste made 6 cone shaped ice blocks that each have a radius of 2.8 in. and a height of 7 in. She used a cylindrical container with a radius of 9 in. to fill all of the cones. What is the height of the cylindrical container? Use 3.14 to approximate pi and round your answer to two decimals places. show your work.
Volume (cone) = (1/3)(b x h) b=base h=height 1) we calculate the total volume of the 6 cones: Total volume of the 6 cones.=6(1/3)(b x h=2(b x h) base: πr²=π(2.8 in)²=7.84 in²
Total volume=2(7.84π in² * 7 in)=109.76π in³
2) we calculate the Volume of the cylindrical container. Volume (cylinder)=base * height base=πr²=π(9 in)²=81π in²
Volume=(81π in² * h)=81πh in²
Therefore: Volume of the 6 cones= volume of the cylinder 109.76π in³=81πh in² h=(109.76π in³) / (81π in²)=1.3550 in≈1.36 in
