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Lana71 [14]
3 years ago
5

What is the range of the data shown on the stem-and-leaf plot?

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

50

Step-by-step explanation:

the given data is

93     43     50     48

the range is given by the following formula :

Range = Vmax - Vmin

where

Vmax= maximum value of Data

Vmin= minimum value of Data

from the given data ,

Vmax  = 93 and Vmin = 43

hence,

Range = 93 - 43

Range = 50

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Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger c
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Answer:

Volume of smaller canister = 763.02 cm^3

Surface area of smaller canister = 466.29 cm^2

Volume of larger canister = 6104.16 cm^3

Surface area of larger canister = 1865.16 cm^2

Volume becomes 8 times by doubling the size and surface area becomes 4 times by doubling the size.

Step-by-step explanation:

Given that :

Diameter of Smaller canister = 9 cm

Height of Smaller canister = 12 cm

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Volume and surface area of each canister and their comparison.

Solution:

First of all, let us have a look at the formula of volume and surface area of a cylinder.

Volume, V=\pi r^2h

Surface Area, A=2\pi r^2+ 2\pi rh

where r and h are the radius and height of the cylinder respectively.

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Radius of smaller canister is given by:

r_1 = \dfrac{9}{2}  = 4.5\ cm

Height, h_1 =12\ cm

Volume, V_1=\pi (4.5)^2 \times 12 = 763.02\ cm^3

Surface Area, A_1 = 2 \pi \times 4.5 ^2 + 2\pi\times  4.5 \times 12 = 466.29 \ cm^2

Now, Diameter / Radius and height of larger canister are doubled of smaller one.

Radius of larger canister is given by:

r_2 = \dfrac{9}{2} \times 2  = 9 cm

Height, h_2 =12\times 2 = 24\ cm

Volume, V_2=\pi (9)^2 \times 24 = 6104.16\ cm^3

Surface Area, A_2 = 2 \pi \times 9 ^2 + 2\pi\times  9\times 24= 1865.16 \ cm^2

Comparing the results, we can easily see that:

V_2 = 8 \times V_1\\A_2 = 4 \times A_1

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