Large sphere's radius = R,
small sphere's radius = r, R = 8r
surface area of a sphere (SA) = 4×pi×radius^2
So what we need is the SA of the larger in terms of the smaller sphere, so if:
SA (of R) = 4×pi×R^2, then plug in "8r" for "R"...
SA = 4×pi×(8r)^2 = 4×3.14×64r^2
SA = 12.57×64r^2 = 804 r^2
Therefore the SA of the larger sphere is 804 times the SA of the smaller sphere.
I hope that makes sense!
Answer:
7/12, 2/3, 3/4
Step-by-step explanation:
Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object.
Answer:
Amount of cake mix baking pan can hold is 99 ounces
Step-by-step explanation:
Here we have the size of the baking pan is given by the following relation
Volume of baking pan = Length × Width × Height
Volume of baking pan = 12 in. × 6 in. × 2.5 in. = 180 in.³
Mass of 1 cubic inch of cake mix = 0.55 ounces, therefore, the mass of cake mix that the 180 in.³ baking pan can hold is found as follows;
Amount of cake mix baking pan can hold = Volume of baking pan × Mass per cubic inch of cake mix
Amount of cake mix baking pan can hold = 180 in.³ × 0.55 ounce/in.³ = 99 ounces.
