Mathematics, 29.08.2019 00:40 sarahhfaithhh

Acan company makes a cylindrical can that has a radius of 6 cm and a height of 10 cm. one of the company’s clients needs a cylindrical can that has the same volume but is 15 cm tall. what must the new radius be to meet the client’s need? round to the nearest tenth of a centimeter. 2.7 cm 4.9 cm 7.3 cm 24.0 cm

Answers: 2

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Answer from: jamiecoolgal8697

Second option is correct.

Explanation:

Since we have given that

Radius of cylinder (r)= 6 cm

Height of cylinder (h) = 10 cm

According to question, one of the company's clients needs a cylindrical can that has the same volume but is 15 cm tall.

So, Height of new cylinder (H) = 15 cm

Radius of new cylinder = R cm

As we know the formula for " Volume of cylinder ":

$\pi r^2h=\pi R^2H\\\\6\times 6\times 10=R^2\times 15\\\\360=R^2\times 15\\\\\frac{360}{15}=R^2\\\\24=R^2\\\\\sqrt{24}=R\\\\4.9\ cm=R$

Hence, Second option is correct.

Answer from: madams4450

4.9 cm

Step-by-step explanation:

Radius of cylindrical can = 6cm

Height of can = 10 cm

Volume of cylinder = $\pi r^{2} h$

= $\pi (6)^{2} \times 10$

= $360\pi$

Now, One of the company’s clients needs a cylindrical can that has the same volume but is 15 cm tall.

Volume of new cylinder with height 15 cm = $\pi r^{2} h$

= $\pi r^{2} \times 15$

= $15\pi r^{2}$

Since the volume of old can and new can should be same .

$360\pi =15\pi r^{2}$

$360 =15 r^{2}$

$\frac{360}{15} =r^{2}$

$24=r^{2}$

$\sqrt{24} =r$

4.9 =r

Thus the new radius be to meet the client’s need mus be 4.9 cm.

Answer from: Quest

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

(02.05 mc) determine if the two figures are congruent and explain your answer.

Answer from: Quest

The academic affairs council is the highest expert body processing academic affairs, as stipulated by the university statutes. specialist aaro häkkinen (educational policy) took part in the council’s meeting. the agenda of the meeting included bachelors’ feedback, the timing of pedagogical studies, the grant system for tuition fees, the standardisation of administrative practices for internships and the situation of foreign-language and multilingual master’s programmes.

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