Most of the information's required for solving the question is already given. Height of each cylinder (H) = 6 cm Diameter of each cylinder (D) = 6.19 cm Then Volume of each cylinder = <span>πD²H / 4 = [3.14 * (6.19)^2 * 6] / 4 = [3.14 * 38.32 * 6] / 4 = 721.88/4 = 180.47 cubic centimeter Volume of each solid block of gold = 360 cm^3 Then Number of cylinders required = 360/180.47 = 1.99 = 2 From the above deduction, we can conclude that 2 cylinders will be required.</span>
First, solve for the volume (V) of each cylinder by the equation, V = πd²h / 4 where d and h are diameter and height, respectively. Substituting the given values, V = π(6.19 cm)² x (6 cm) / 4 = 180.56 cm³ To determine the number of cylinders needed, divide the volume of the solid block by the volume of the cylinder, n = 360 cm³ / 180.56 cm³ = 1.99 Thus, approximately 2 cylinders are needed to mold one block of gold.
X=27 and y=11 if you let each number equal x and y we know the sum is 38 so x+y=38 and the smaller is 16 less than the larger . so if we say the smaller number is 7 then x-16=y these can be solved as a simultaneous equation. x+(x-16)=38 2x-16=38 2x=54 x=27 (27)-16=y y=11 so the answer is x=27 y=11
