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Keith_Richards [23]
3 years ago
12

The diagram shows a plastic solid made by joining a hemisphere to a cone. The radius of the hemisphere is 5cm and the height of

the cone is 12cm.
i) Calculate the volume of the solid.

ii) Calculate the total surface area of the solid.

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Answer:

575.8 cubic cm

Step-by-step explanation:

V(cone) = 1/3· π · r² · h

V = 1/3 · π · 25 · 12

V = 4(25)π or 100π = 314

V(half-sphere) = (4/3 · π r³)/2

V = (4/3π · 125) = 261.8

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Answer:

10.95 miles

Step-by-step explanation:

a = Park\ to\ Home\\\\b = Park\ to\ Football\ Field \\\\t_{h} = Park\ to\ Library\\\\t_{h} = \sqrt{a^{2} - 2^{2} } \\\\t_{h} = \sqrt{b^{2} - 10^{2} } \\\\b = \sqrt{12^{2} - a^{2} }  \\\\-----------\\\\a^{2} - 2^{2} = 12^{2} - a^{2} - 10^{2} \\\\2a^{2} = 144 - 100 + 4 = 48 \\\\a = \sqrt{24} = 4.9\ miles \\\\-----------\\\\b = \sqrt{144 - 24}  = \sqrt{120}  = 10.95\ miles

6 0
3 years ago
Which choice represents the fraction below as a single exponential expression?
lyudmila [28]

the correct answer would be A. 8^-12

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4 0
3 years ago
Answer to this please
mote1985 [20]

Answer:

Sue travels for 3 hours and a half

Sue stays stationary for 2 hours and a half

Step-by-step explanation:

Everytime the curve climbs, it means Sue is travelling. Everytime the curve stays flat, it means Sue is stays stationary. It remains to count up the total for both categories, with one square being 30 minutes.

6 0
3 years ago
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Please help me out ‼️
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Answer:

7

Step-by-step explanation:

In similar triangles, corresponding elements are proportional. Then we get,

(2x + 1)/(x-1) = 10/4

4(2x +1)       = 10(x-1)

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6 0
3 years ago
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skelet666 [1.2K]
8s-3s=5s
5s=110
Divide both sides by 5 => s=22
RZS = 3s = 3(22) = 66
TZS= 8s = 8(22) = 176
7 0
3 years ago
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