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3 years ago

Which expression gives the volume of a sphere with radius 5?

Mathematics

2 answers:

musickatia [10]3 years ago

6 0

Answer:

Step-by-step explanation:

A is nothing.

B is the surface area

C is nothing

D is the volume of a sphere.

lys-0071 [83]3 years ago

5 0

Answer:

it is d

Step-by-step explanation:

formula of sphere=4/3* pi*r cubed

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A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

3 years ago

28 ⅓ minutes to run 3 ⅓ miles

shtirl [24]

Answer:

(I'm assuming you find how many miles in a minute.) 0.013 miles.

Step-by-step explanation:

So in order to find the amount of miles in a minute you are going to divide it.

10/3 divided by 85/3 = 0.013 miles in a minute.

3 0

2 years ago

Use your calculator to find the value of each trig function below. Round to the tenth place.

zepelin [54]

Answer: 0.7

Step-by-step explanation: use calculator XD

3 0

3 years ago

Which number has the same value as 20 tens

barxatty [35]

200 has the same value as 20 tens beucase 20*10=200

4 0

3 years ago

The modulus of (3 + 4i)4 is _____. 5 20 125 625

vladimir1956 [14]

(3+4i)*4 = 3*4+4i*4 = 12+16i

The complex number 12+16i is in the form a+bi where a = 12 and b = 16

m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20

Answer: 20

6 0

2 years ago