The radius of the completed cone is
... 18×(300°/360°) = 15
The height of the completed cone is found from the Pythagorean theorem:
... 15² + h² = 18²
... h = √99 = 3√11
The volume is given by
... V = (1/3)πr²·h = (1/3)π·15²·3√11
Dividing this value by π gives 225√11 cubic units.
Answer:
1 hour and 50 minutes will take to fill up a 300 gallon swimming pool explanation just do the quation/math
Answer:
His 55 kg of cement is 5 kg short of the 60 kg he needs.
Step-by-step explanation:
Let r be a ratio useful in determining how much of each ingredient Henry needs:
4/8 of the mix is cement, 3/8 is sand and 1/8 is gravel.
4/8 of the total 120 kg must then be 60 kg made up of cement;
3/8 must then be 45 kg made up of sand; and
1/8 must then be 15 kg made up of gravel
His 55 kg of cement is 5 kg short of the 60 kg he needs.
The answer is ASA.
Given that ∠A = ∠O, ∠W = ∠N, SW = TN, this shows that the two angles (∠A and ∠W) and the included side SW of the first triangle are equal to the two angles (∠O and ∠N) and the included side TN of the second triangle. This means that third angles ∠S and ∠T are also equal. Therefore, the two triangles ΔWAS and ΔNOT are congruent based from the ASA Postulate.
