the correct question is
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1/4 that height. Which of these statements is NOT true?
the statements in the attached figure
we know that
r=2 cm
h1=8 cm
h2=(1/4)*8=2 cm
[Volume of cone 1]=(π*r²*h)/3--------> (π*2²*8)/3= 33.49 cm³
[Volume of cone 2]=(π*r²*h)/3--------> (π*2²*2)/3---------> 8π/3= 8.37 cm³
Statements A)
The volume of the smaller cone is (1/4)(1/3π • 2 • 2 • 8) cm3---------> is true
Statements B)
The volume of the smaller cone is (1/3)(4π • 2) cm3.-----------> is true
Statements C)
The volume of the smaller cone is (8/3)π cm3. -----------> is true
Statements D)
The volume of the smaller cone cannot be determined because its height is unknown-----------> is not true
the answer is the Statements D)
The volume of the smaller cone cannot be determined because its height is unknown-----------> is not true