Answer:
59)
Therefore the height of the pyramid is 14 meter.
60)
Therefore the Diameter of Cone is 17.32 cm.
Step-by-step explanation:
59 )
Given:
Shape is Rectangular Pyramid,
Length = 3 meter
Width = 8 meter
Volume of Rectangular Pyramid = 112 cubic meter
To Find:
Height:
Solution:
We Know,
[tex]\textrm{Volume of Rectangular Pyramid}=\frac{1}{3}(Length\times Width\times Height)[/tex]
Substituting the given values we have
[tex]112=\frac{1}{3}(3\times 8\times Height)\\ \\\therefore Height=\frac{336}{24}\\\\\therefore Height=14\ meter\\[/tex]
Therefore the height of the pyramid is 14 meter.
60 )
Thee shape is of Cone
Given:
Height= 5 cm
Volume of cone = 125 π cm³
To Find:
Diameter of a cone = d = ?
Solution:
We know,
[tex]\textrm{Volume of cone}=\frac{1}{12}\pi (Diameter) ^{2}\times Height[/tex]
Substituting the given values we have
[tex]125\pi =\frac{1}{12}\pi d^{2}\times 5\\ \\d^{2}=25\times 12\\ \\d^{2}=300\\\\d=17.32\\ \therefore Diameter = 17.32\ cm[/tex]
Therefore the Diameter of Cone is 17.32 cm.
