Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 14 that height. Which of these statements is NOT true?
Accepted Solution
A:
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