Answer:
3.56 cm.
Step-by-step explanation:
1/3 π r^2 h = V
1/3 π (5.13)^2 h = 98
h = 98 / (1/3 π (5.13)^2)
= 98 / 27.55899
= 3.556.
Answer:
c: car b was 10 miles east of car a
Step-by-step explanation:
The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
Answer:
V = 141.37 cm³
Surface area = 150.80 cm²
i. Doubling the radius to 6 cm, while the height remains 5
Step-by-step explanation:
Given that :
Radius, r = 3cm
Height, h = 5cm
Volume , V of right cylinder :
V = πr²h
V = π * 3² * 5
V = 141.37166
V = 141.37 cm³
Surface Area :
2πr(h + r)
2 * π * 3(3 +5)
18.849555(8)
150.79644
= 150.80 cm²
Volume at r = 6 ; h = 5
V = π * 6² * 5
V = 565.48667 cm³
Volume at r = 3 ; h = 15
V = π * 3² * 15
V = 424.11500 cm³
To increase volume,
