Answer:
Below in bold.
Step-by-step explanation:
(a) Volume = volume of the cylinder + volume of hemisphere
= pi r^2 h + 1/2 * 4/3 pi r^3
= pi 2^2 3 + 2/3 pi 2^3
= 12pi + 16pi/3
= 52pi/3
= 52pi/3 in^3
= 54.45 in^3 to nearest hundredth.
(b) Surface area = area of base + area of curved part + area of the hemisphere
= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2
= 4pi + 8 pi + 12pi
= 24pi in^2
= 75.40 to nearest hundredth.
Answer:
31.67
Step-by-step explanation:
12 2/3 X 2 1/2
we begin by converting this into improper fractions,
= 38/3 * 5/2
= 95/3
= 31.67
Linear systems that have infinite solutions have the same slope and they have the same line on the graph
We are asked to solve for the height of the triangle such that the AB measurement is 12 units and the CB measurement is 10 units. We will assume that the given triangle is a right triangle so that we can apply hypotenuse theorem c² = b² + a² where c = AB (the hypotenuse), where CB = b and AC is still unknown.
AB² = CB² + AC²
12² = 10² + AC²
AC² = 12² - 10²
AC = 6.63
Therefore the height is 10 units and the base is 6.63 units and the hypotenuse is 12 units.
The answer is C because AD is half of AB and AE is half of AC.