129k views
1 vote
Please help due tmr ;)

Please help due tmr ;)-example-1
User DJDJ
by
8.2k points

2 Answers

5 votes

Answer: a.) diameter(d), height(h) = 9.1 cm, slant(s) = 10.9 cm

s^2 = d^2 + h^2

d^2 = s^2 - h^2

d^2 = 10.9^2 - 9.1^2

d^2 = 118.81 - 82.81

d^2 = 36

d = 36 cm

b. V = V of hemisphere + V cylinder

r = d/2 = 36/2 = 18cm.

V = (2/3)(pi)(r^3) + (pi)(r^2)(h)

V = (2/3)(pi)(18^3) + (pi)(18^2)(9.1)

V = 3888pi + 2948.4pi

V = 6836.4pi cm^3

V = 21477.18 cm^3 or 21477.2 cm^3

Explanation:

User Quami
by
8.2k points
3 votes
a.) diameter(d), height(h) = 9.1 cm, slant(s) = 10.9 cm

s^2 = d^2 + h^2
d^2 = s^2 - h^2
d^2 = 10.9^2 - 9.1^2
d^2 = 118.81 - 82.81
d^2 = 36
d = 36 cm

b. V = V of hemisphere + V cylinder

r = d/2 = 36/2 = 18cm.

V = (2/3)(pi)(r^3) + (pi)(r^2)(h)
V = (2/3)(pi)(18^3) + (pi)(18^2)(9.1)
V = 3888pi + 2948.4pi
V = 6836.4pi cm^3
V = 21477.18 cm^3 or 21477.2 cm^3
User Rob Glassey
by
8.4k points