Answer:
V = 240π cm^3 , S= 168π cm^2
Step-by-step explanation:
The given figure is a combination of hemi-sphere and a cone
<u>Volume:</u>
For volume
r = 6 cm
h = 8 cm

<u>Surface Area:</u>
For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere
We have to find the lateral height

Hence the first option is correct ..
Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore, 
⇒ 
⇒ 
⇒ 
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
3 + 7 > 10 - 2
10 > 8...correct
Answer:
1/30 of a scale.
Step-by-step explanation:
Multiply the 20 by 12 to convert it to inches. Then divide the answer by 8 to get the scale.