The volume of a cone is 1/3 π r2 h of 1/3(area of the base) x (height). r2 means radius to be squared or to the power of 2 of r multiplied by itself and means the same in the following formula. In the case of your cone H=D where H is the height and D is the diameter. But the diameter is twice the radius. So we have to change r in the formula in terms of H. So r is half D, or r is half H. So our formula for our mug/cone is 1/3 π (H/2)2 H. To find the dimension of a mug that can hold 0.25 L you just solve the equation 0...

The volume of a cone is 1/3 π r2 h of 1/3(area of the base) x (height). r2 means radius to be squared or to the power of 2 of r multiplied by itself and means the same in the following formula. In the case of your cone H=D where H is the height and D is the diameter. But the diameter is twice the radius. So we have to change r in the formula in terms of H. So r is half D, or r is half H. So our formula for our mug/cone is 1/3 π (H/2)2 H. To find the dimension of a mug that can hold 0.25 L you just solve the equation 0.25 = 1/3 π (H/2)2 H