Answer:
3142.86 cubic cm
Step-by-step explanation:
volume of cone is given by formula
volume of cone = 1/3(area of base*height)
Given radius of base = 10cm
we know area of circle is given by 
where r is radius of circle
thus area of base of cone is calculated below
area of base of cone is 314.2857 square cm
height = 30 cm
Thus volume of cone = 1/3* (area of base*height)
= 1/3(314.2857*30)
= 1/3 *9428.571 = 3142.857.
Thus, volume of cone is 3142.857 cubic cm.
volume of cone to the nearest hundredth is 3142.86 cubic cm
Answer:
what is 0.5% of 30 = 0.15
what is 0.5% of 193 = 0.965
what is 0.5% of 864 = 4.32
Step-by-step explanation:
There are 650 toothpicks in a regular sized box.
That is the volume of the box = 650 toothpicks
Jumbo box is made by doubling all the dimensions.
We know volume = length * width * height = L*W*H
We double all the dimensions for Jumbo box
L becomes 2L
W become 2W
H becomes 2H
Volume of Jumbo box = 2L * 2W * 2H = 8*L*W*H
Volume of jumbo box = 8 * volume of small box
= 8 * 650= 5200
The Jumbo box holds 5200 toothpicks .
Yes, 0.06 is greater than 0.0582.
If we look at the hundreths place, we can see 6 and 5. 6 is greater than 5 which proves that 0.06 is greater.
Best of Luck!
For the answer to the question above,
1 + nx + [n(n-1)/(2-factorial)](x)^2 + [n(n-1)(n-2)/3-factorial] (x)^3
<span>1 + nx + [n(n-1)/(2 x 1)](x)^2 + [n(n-1)(n-2)/3 x 2 x 1] (x)^3 </span>
<span>1 + nx + [n(n-1)/2](x)^2 + [n(n-1)(n-2)/6] (x)^3 </span>
<span>1 + 9x + 36x^2 + 84x^3 </span>
<span>In my experience, up to the x^3 is often adequate to approximate a route. </span>
<span>(1+x) = 0.98 </span>
<span>x = 0.98 - 1 = -0.02 </span>
<span>Substituting: </span>
<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 </span>
<span>approximation = 0.834 </span>
<span>Checking the real value in your calculator: </span>
<span>(0.98)^9 = 0.834 </span>
<span>So you have approximated correctly. </span>
<span>If you want to know how accurate your approximation is, write out the result of each in full: </span>
<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 = 0.833728 </span>
<span> (0.98)^9 = 0.8337477621 </span>
<span>So it is correct to 4</span>
