Asheet cake and a birthday cake are both made from the same batter. the sheet cake is in the shape of a rectangular prism that is 12 inches long, 9 inches wide, and 2 inches tall. the birthday cake is in the shape of a cylinder with a base radius of 4.5 inches and a height of 4 inches. if the sheet cake has a total of 3,600 calories, approximately how many calories are in the birthday cake? 1,880 2,960 3,770 4,240

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3