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Salsk061 [2.6K]
3 years ago
5

 What is the radius of a cone with diameter​ d? An ice cream cone is filled exactly level with the top of the cone. The cone has

a 5​-cm diameter and 9​-cm depth. Approximate how much ice cream​ (in cm cubed​) is in the​ cone? Use 3.14 for pi. What is the radius of a cone with diameter​ d?
Mathematics
1 answer:
alekssr [168]3 years ago
5 0

Answer:

radius is 2.5

volume of ice cream is 58.9 cm cubed

Step-by-step explanation:

to calculate the volume of a cone   v=pi x r^2 x (h/3)

v=volume

r=radius

h=height

^ means powers and roots

depth in cones is the same as height

v=3.14 x 2.5^2 x (9/3)

order of operations

v=3.14 x 2.5^2 x 3

v=3.14 x 6.25 x 3

v=19.625 x 3

v=58.875

round

v=58.9

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barxatty [35]

Answer:

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Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

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<u>Calculation</u>

Given:

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\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}

5 0
2 years ago
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notka56 [123]
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3 0
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