Surface area of the cylinder is 251.2 cm² and volume is 141.3 cm³.
More volume is that of the cylinder when height is tripled to 15 inches and radius is 3 cm.
Step-by-step explanation:
- Step 1: Given radius = 3 cm and height = 5 cm, find surface area and volume of the cylinder.
Surface area = 2πrh + 2πr² = 2πr(h + r)
= 2π × 5 (3 + 5) = 2 × 3.14 × 40 = 251.2 cm²
Volume = πr²h = 3.14 × 3² × 5 = 141.3 cm³
- Step 2: Find new volume when radius = 6 cm and height = 5 cm
Volume = 3.14 × 6² × 5 = 565.2 cm³
- Step 3: Find new volume when height = 15 in and radius = 3 cm
15 inches = 15 × 2.54 cm = 38.1 cm (∵ 1 in = 2.54 cm)
⇒ Volume = 3.14 × 3² × 38.1 = 1076.7 cm³
∴ More volume can be attained if the height is tripled to 15 inches while radius is still at 3 cm.
Here's the gist and you can then elaborate:
Proof:
BC = EC, AC = DC (this is given)
angle BCA = angle ECD (vertical angles)
Therefore triangle BCA = triangle ECD (by the side-angle-side theorem).
So therefore BA = ED ( by Congruent Parts of Congruent Triangles are Congruent)
This is not a paragraph proof. You will need to add a little bit more of explanation.
Answer:
I think the bill was 104.94
Step-by-step explanation:
If you add 1.10 by 6% you then subtract by 10%
Answer:
60 + x =100
Step-by-step explanation:
Since the angle with 100 degrees is opposite the angle combining 60 and x, they will have congruent measures.
Answer:
side is 35
Step-by-step explanation:
use pythagoream theroem
21^2 +28^2 = c^2
441+784=c^2
1225 = c^2
take the square root
c=35
the side is 35
