Answer:
a. 754cm³ (3 s.f.)
b. 415cm² (3 s.f.)
Step-by-step explanation:
Formulas (for easier reference):
Volume of cone:
r²
Volume of hemisphere: 
r³
Surface area of cone without base:
rl
Surface area of hemisphere without base: 2
r²
We can just apply the formulas for the question:
Volume of toy = (
× 6² ×
) + (
×
6³)
= 96
+ 144
= 240
= 754cm³ (3 s.f.)
Surface area of toy = (
× 6 × 10) + (2 ×
× 6²)
= 60
+ 72
= 132
= 415cm² (3 s.f.)
Answer:
angleABC=isosceles triangle
angleB=(180-50)÷2=65
angle B=angleX(alternative angle)
angleB=65degree
Answer:
p > 63
Step-by-step explanation:
p/7-(9)>0
p
Simplify —
7
p
— - 9 > 0
7
p - 63
—————— > 0
7
Multiply both sides by 7
Add 63 to both sides
p > 63
Answer:
x = 9
Angle B = 40°
Step-by-step explanation:
Angle A = Angle B




Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°
Hope this helps
To find the circumference of a circle, simply multiply the diameter by pi.
The answer (depending on how you teacher wants it) is either
8.4
or 26.39.
You teacher most likely wants to see
26.39 as the diameter
The area can be found by squaring the radius and multiplying it by pi.
The radius is 4.2, so...

The area is 55.39