Ashed has walls that are 12ft in length, 8 ft in width, and 3 m in height. the roof is in the shape of a rectangular-based pyramid whose height reaches 1 m above the walls at its highest point. the doorway measures 1.5 m by 2.5 m. the two congruent windows each have an area of 1.4 m2. imagine that is the house. the entire shed, excluding the windows and doorway, needs to be covered in plastic sheeting to make it waterproof. determine the surface area that needs to be covered.

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