52? ahh thats what im thinking. Maybe wait for someone elses answer
Answer: 37.68 square inches of paper
Step-by-step explanation:
Hi to answer this question we have to calculate the side area (since the label doesn't cover the top and bottom area)
First, we have to find the circumference.
Circumference (C) = 2 π r
Since:
Diameter = 2 radius
3 = 2r
3/2 =r
r =1.5 inches
Back with the circumference formula
Replacing with the values given:
C = 2 (3.14) 1.5
C= 9.42
Side area = C x heigth = 9.42 x 4 = 37.68 square inches
<h2>9.</h2><h3>Given</h3>
<h3>Find</h3>
- linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>
The equation for volume of a sphere is
... V = (4/3)π·r³
Differentiating gives
... dV = 4π·r²·dr
Filling in the given numbers gives
... change in volume ≈ 4π·(15 cm)²·(0.4 cm)
... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick
<h2>11.</h2><h3>Given</h3>
- an x by x by 2x cuboid with surface area 129.6 cm²
- rate of change of x is 0.01 cm/s
<h3>Find</h3>
<h3>Solution</h3>
The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².
The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is
... dV/dt = (d/dt)(2x³) = 6x²·dx/dt
We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...
... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
-15+7=-8
Adding numbers with different signs makes it subtraction and the answer will have the sign of the bigger number
Ur answer is going to be 78.507
