Answer: 153.56
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Volume of a cone: 1/3 π r² h
Where r is the radius and h is the height (unknown)
Diameter = r x 2
8 = 2r
8/2 =r
r = 4
Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)
10 ² = h² + 4²
Solving for h
100 = h² + 16
100-16 = h²
84= h²
√84 =h
9.16= h
Back on the volume formula:
V= 1/3 π r² h
V =1/3 π 4² (9.16) =153.56
First off, turn 7 1/4 into a mixed number, 29/4. change 29/4 / 5/6 into a multiplication question by flipping 5/6 into 6/5 (AKA multiplying by the reciprocal) so you get 29/4 X 6/5. then multiply so you get 174/20. Next, simplify into a mixed number by seeing how many times 20 goes into 174, and then putting the leftovers into a fraction, so you get 8 14/20, then simplify even further so you get 8 7/10.
Answer:
44.95
Step-by-step explanation:
Two decimal places = 44.95
