Work out the volume of each of the cones below. (Take π = 3.14)

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ScanSolve AI Tutor · Accepted Answer

Huu hapa ni ufumbuzi wa swali la 2:

Swali la 2: Emmah ana koni ya aiskrimu bandia. Kipenyo cha koni ni $7 \text{ cm}$ na urefu wake ni $12 \text{ cm}$ . Tafuta ujazo wa koni ya aiskrimu. (Tumia $\pi = \frac{22}{7}$ )

Tafuta rediasi ( $r$ ) ya koni.
Kipenyo ( $D$ ) ni $7 \text{ cm}$ . Rediasi ni nusu ya kipenyo.
$r = \frac{D}{2} = \frac{7 \text{ cm}}{2} = 3.5 \text{ cm}$
Tumia fomula ya ujazo wa koni.
Fomula ya ujazo ( $V$ ) wa koni ni $V = \frac{1}{3} \pi r^2 h$ .
Tunapewa $h = 12 \text{ cm}$ na $\pi = \frac{22}{7}$ .
Badilisha thamani kwenye fomula na kokotoa.
$V = \frac{1}{3} \times \frac{22}{7} \times (3.5 \text{ cm})^2 \times 12 \text{ cm}$ $V = \frac{1}{3} \times \frac{22}{7} \times (3.5 \times 3.5) \text{ cm}^2 \times 12 \text{ cm}$ $V = \frac{1}{3} \times \frac{22}{7} \times 12.25 \text{ cm}^2 \times 12 \text{ cm}$
Kwanza, rahisiisha $12.25 \text{ cm}^2 \div 7$ :
$12.25 \div 7 = 1.75$
Sasa, endelea na hesabu:
$V = \frac{1}{3} \times 22 \times 1.75 \text{ cm}^2 \times 12 \text{ cm}$ $V = 22 \times 1.75 \text{ cm}^2 \times \frac{12}{3} \text{ cm}$ $V = 22 \times 1.75 \text{ cm}^2 \times 4 \text{ cm}$ $V = 22 \times 7 \text{ cm}^3$ $V = 154 \text{ cm}^3$
Ujazo wa koni ya aiskrimu ni $\text{154 cm}^3$ .

Work out the volume of each of the cones below. (Take π = 3.14)

Answer

Step-by-step solution

Tafuta rediasi ( $r$ ) ya koni.

Tumia fomula ya ujazo wa koni.

Badilisha thamani kwenye fomula na kokotoa.

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Work out the volume of each of the cones below. (Take π = 3.14)

Answer

Step-by-step solution

Tafuta rediasi (rrr) ya koni.

Tumia fomula ya ujazo wa koni.

Badilisha thamani kwenye fomula na kokotoa.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Tafuta rediasi ( $r$ ) ya koni.