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
To find Jackson's height, you subtract 9 from 63 which gives you 54. 63-9=54
Answer:
75% of students voted for the athlete
Step-by-step explanation:
total number of students 24+8 = 32
24 out of 32 students chose the athlete
24/32 simplified = 3/4
3/4 = 75%
Step-by-step explanation:
let the numbers are:
a, b, and c
the equation would be:
a+b+c = 131
c = 4a
b = a+5
=>
a + a+5 +4a = 131
6a +5 = 131
6a = 131-5
6a = 126
a= 126/6
a = 21
b = a+5 = 21+5
b = 26
c = 4a = 4(21)
c = 84
Answer:
x=3.5 cm
Step-by-step explanation:
90/2 = 45 degrees
Soh Cah Toa
We have opposite and hypotenuse making sin.
Length×Sin(Angle)
5×Sin(45) = 3.53553cm
Rounded the the nearest tenth makes 3.5cm
